Pay It Forward is an act of kindness that will change a person's life.
My Pay It Forward act of kindness was donating food to Siloam Mission(My original plan was to personally give each person food). I chose to do this particular activity because, at the time it was close to Christmas, and the theme of Christmas is to give. As I said before, I was donating food to the Siloam Mission Homeless Shelter, so obviously I'm helping people who are experiencing homelessness. What I did to do this task was really just asking the supervisors if I could donate some food. They said of course, and told me to put the food in the kitchen. After that, I thanked them, they thanked me, and I was done with it. This activity was done on Saturday, 21st of December.
When, and after I did this, I felt...good. I also kind of felt proud for myself,considering this is something I actually have never done before, and that I spent MY own money on this food. But hey, like I said, it's good to give. Naturally, I am pretty generous, if I do say so myself, but that's besides the point.
Unfortunately, I could not interact with the people, and therefore, could not find out their reactions, nor ask them to pay it forward. Which sucks, but donating the food is the best that I could do in my ability.
-Raven Pana
Sunday, 29 December 2013
Sunday, 10 February 2013
Wednesday, 6 February 2013
Comparing and Ordering Fractions
COMPARING AND ORDERING FRACTIONS
Let's start with ordering fractions first.
I am assuming you know what fractions are, so let's skip that part.
ORDERING FRACTIONS WITH LIKE DENOMINATORS:
When ordering fractions with LIKE denominators (the bottom part is the same in both fractions), all you have to do is order the numerators (the top part of the fraction)!
For example:
Let's say we have the fractions, 5/10, 3/10, and 8/10. All the denominators are the same. Now lettuce order them from smallest to largest!
Since the denominators are the same, all we have to do is order them by the numorator. (We do this because the smaller the numerator, the smaller the fraction.)
3/10, 5/10, and 8/10!
Viola! That is how you order fractions with like denominators!
ORDERING FRACTIONS WITH UNLIKE DENOMINATORS:
This is where things may get a little tricky.
When ordering fractions with unlike denominators, you have to multiply the fraction by 1. (a number over itself, eg. 1/1, 2/2, 3/3, etc.)
'How is this done?' you may ask.
How about a diagram?
Let's start easy. How about, 4/5 and 7/10?
To start off, what do both of these denominators have in common? Yes, 10. 7/10 already has 10 as it's denominator, so we won't have to change it!
To get from 5 to ten, we multiply by two.
*note we also have to change the numerator because we multiply by 1.
4 2 8
- x- =-
5 2 10
Now we have the fraction, 8/10, that used to be 4/5.
Remember that we had to order fractions?
Now that we have two numbers with the same denominator, we can do exactly what we did before with like denominators!
The answer is 7/10, 8/10
VIOLA! You now know this as well!
COMPARING FRACTIONS:
When you compare fractions, you basically compare!
When comparing fractions, you find the difference between them. This is like ordering them to see which one is larger, and which isn't.
So when you have fractions like this: 3/5 and 1/5
You can order them and see which is larger and which is smaller.
1/5 is smaller than 3/5.
VIOLAAAA! You know how to compare now too!
That was my short lesson on Comparing and Ordering Fractions.
*phew.*
Note: Okay, okay, okay. I know this is totally late. My bad.
Mathematically and Scientifically yours,
Nicole :D
Ps. That diagram did not go well as I intended to.
Tuesday, 5 February 2013
Order of Operations
3 + 4(6-2) ÷ 2 =
I determined the answer by using "B.E.D.M.A.S."
Brackets: 6 - 2 = 4
Exponents: There are no exponents used in this question.
Division: 4 ÷ 2 = 2
Multiplication: 4(4) = 16
Addition: 3 + 16 ÷ 3 = 11
Subtraction: There is no subtraction used in this question.
The answer to the question is 11.
3 + 4(6-2) ÷ 2 = 11
I determined the answer by using "B.E.D.M.A.S."
Brackets: 6 - 2 = 4
Exponents: There are no exponents used in this question.
Division: 4 ÷ 2 = 2
Multiplication: 4(4) = 16
Addition: 3 + 16 ÷ 3 = 11
Subtraction: There is no subtraction used in this question.
The answer to the question is 11.
3 + 4(6-2) ÷ 2 = 11
Comparing and Ordering Fractions
Comparing:
When you are comparing fractions you are trying to see the difference in then, by the amount.for example if you had 4/5 and 3/4 you have to find a common denominator to see which one is bigger. The common denominator would be 20. You multiply the numerator by 5 and then the denominator by 5. The fractions you should get are 16/20 and 15/20. Now take a look at them and see which one is bigger. 16/20 is bigger and reduced is 4/5. So 4/5 is you biggest fraction out of these 2.
Ordering Fractions:
When ordering fractions it is very simple, these are the fractions:
3/4, 4/5, 1/2 from least to greatest.
Find a common denominator and then multiply the denominator and the numerator by a number to get to the common denominator, like this:
3/4, 4/5, 1/2 20- common denominator
3/4 x 5 = 15/20
4/5 x 4 = 16/20
1/2 x 10 = 10/20
Now put them in order from least to greatest or greatest to least, whatever the instructions tell you to do.
10/20, 15/20, 16/20
Remember to put them back to their original fraction.
1/2, 3/4, 4/5
When you are comparing fractions you are trying to see the difference in then, by the amount.for example if you had 4/5 and 3/4 you have to find a common denominator to see which one is bigger. The common denominator would be 20. You multiply the numerator by 5 and then the denominator by 5. The fractions you should get are 16/20 and 15/20. Now take a look at them and see which one is bigger. 16/20 is bigger and reduced is 4/5. So 4/5 is you biggest fraction out of these 2.
Ordering Fractions:
When ordering fractions it is very simple, these are the fractions:
3/4, 4/5, 1/2 from least to greatest.
Find a common denominator and then multiply the denominator and the numerator by a number to get to the common denominator, like this:
3/4, 4/5, 1/2 20- common denominator
3/4 x 5 = 15/20
4/5 x 4 = 16/20
1/2 x 10 = 10/20
Now put them in order from least to greatest or greatest to least, whatever the instructions tell you to do.
10/20, 15/20, 16/20
Remember to put them back to their original fraction.
1/2, 3/4, 4/5
Tuesday, 29 January 2013
Jonathan Lu 7-72
Subtracting Fractions
Common Denominator (Proper/Improper Fraction)- Subtract the numerater and leave the denominator as it is. Then divide the numerator by the denominator to get a mixed fraction if the fraction is improper.
Uncommon Denominator (Proper/Improper Fraction)- Times one or both fraction to get the same denominator. Then times the numerator by what you times your denominator. After that, subtract the numerator and leave the denominator as it is. Then divide the numerator by the denominator to get a mixed fraction if the fraction is improper.
Mixed Number, common denominator(Proper/Improper Fraction)- Times the denominator by the whole and add it to your numerator to get your improper fraction. Do the same thing with the other fraction if it has mixed numbers. Subtract the numerator and leave the denominator as it is. Then divide the numerator by the denominator to get a mixed fraction if the fraction is improper.
Mixed Number, uncommon denominator(Proper/Improper Fraction)- Times the denominator by the whole and add your numerator to get your improper fraction. Do the same thing with the other fraction if it also a mixed number. Times one or both fraction to get the same denominator. Then times the numerator by what you multiplied the denominator by. Subtract the numerator and leave the denominator as it is. Then divide the numerator by the denominator to get a mixed fraction if the fraction is improper.
Monday, 28 January 2013
Mixed and Improper Fractions
Mixed fractions are numbers that have a whole and a fraction together. (Ex. 1¼, or 3½). Whereas improper fractions are fractions where the numerator is more than the denominator (Ex. 12/6, 7/2, 10/4)
To convert a mixed number to an improper, you need to do these steps:
(Let's say convert 4¼ to an improper fraction)
_________________________________________________________________
And that is how you convert mixed fractions/numbers to improper fractions.
To convert an improper fraction to a mixed, you can do these steps:
(The number is...18/4)
________________________________________________________
Apples,
Janette Inocencio of 7-72
To convert a mixed number to an improper, you need to do these steps:
(Let's say convert 4¼ to an improper fraction)
- First, you need to know that the whole would be something like 4/4. So the question is 4 wholes.
- Then multiply the wholes by the denominator, that will show you how many there will be. So 4 x 4 = 16.
_________________________________________________________________
And that is how you convert mixed fractions/numbers to improper fractions.
To convert an improper fraction to a mixed, you can do these steps:
(The number is...18/4)
- Find out how many times the denominator would fit into the number (18), by dividing the numerator by the denominator. (
4 wholes,= 16 pieces.) - Then, after dividing it. You will see a decimal point after, which means what is left. (Which is 2 in this...) which equals 2/4.
- Then add the whole and the fraction together. (4+2/4 = 4 2/4)
- If, the number ends up being something like 4 2/4, then you have to turn it into lowest terms. With even numbers you just divide it by 2 then continue till you get to lowest terms. (4 1/2 is lowest terms by the way.)
________________________________________________________
Apples,
Janette Inocencio of 7-72
Sunday, 27 January 2013
Converting decimals,fractions,percents
Converting is not as tough as it looks, keep reading and I'll show you how to convert.
Converting means to change a fraction,decimal or a percent.
Converting fractions to decimals.
You will need your numerator and your denominator (The numerator is how much pieces your using, the denominator is how much you have) and divide them both, ex. 3 divided by 12 is 0.25 (when were talking about fractions, that line in between the two numbers always means divide).
Converting decimals to fractions.
There is not really an explanation of how to convert or change decimals to fractions.You just have to say it (ex. o.5= 5/10 (5 tenths), 0.32= 32/100 (32 hundreths).
Decimals to percents.
Decimals to percents are most likely the easiest "topic" to do when your converting. Just multiply the decimal by 100 and get the percentage of it. (ex. 0.40x100=40%, 0.64x100=64%)
Percents to Decimals.
Percents to decimals is exactly like decimals to percent but only opposite when it comes to multiplying. In this case (Percents to decimals) you will have to divide. (ex. 68 divided by 100=0.68, 9 divided by 100= 0.09, etc.
Percents to fraction.
The max pieces we have (or 100%) will be the denominator and how much we have (percentage) will be our numerator. ex. 60%=60/100, 12%=12/100.(Remember, denominator= how much pieces we have, numerator=how much pieces we are using.)
Thanks for reading,hope I helped you out by even just a bit.
Have a great day,
Gabby S 7-72.
Adding Decimals:
ex. 0.2 + 0.4 = 0.6
add 2 plus 4 to get 6 then add 0 plus 0 to get 0. then your answer is 0.6.
Subracting Decimals:
ex. 0.3 - 0.2 = 0.1
subtract 3 by 2 to get the number 1 then subract 0 minus 0 to get 0. Then your answer is 0.1.
Multiplying Decimals:
ex. 16.1 x 2.4 = 38.64 16.1
x 2.4
644
+3220
38.64
Multiply 4 by 1 to get 4 then multiply 6 by 4 to get 24, carry the 2. multiply 4 by 1 plus 2 to get 6 which equals to 644
start a new row, put 0 at the ones place. then multiply 2 by 1 to get 2 then multiply 2 by 6 to get 12 carry the 1 to get 3 which equals to 3220. now add 644 with 3220 to get the answer of 38.64.
Dividing Decimals:
6.23
ex. 31.773 divided by 5.1 = 51 317.73
-306
0117
- 102
153
- 153
000
Remember :
Move the decimal to the right.
To get the answer you need to know how many 51 is in 317 which is 6. then multiply 6 by 1 from 51 then multiply 6 by 5 to get 30 now put them together to get 306. then subract 317 by 306 to get 11 then lower the 7 from 317.73. now calculate how many 51 is in 117 which is 2. now multiply 2 by 1 to get 2 then multiply 2 by 5 to get 10. now put 10 and 2 together which is 102. then subtract 117 by 102 to get 15 then lower the 3 to get the total of 153. then calculate how many 51 is in 153 which is 3. now multiply 3 by 1 to get 3 then multiply 3 by 5 to get 15. now put 15 and 3 together to get 153. then subrtact 153 by 153 which is 0 and that is where you stop and get your answer.
ex. 0.2 + 0.4 = 0.6
add 2 plus 4 to get 6 then add 0 plus 0 to get 0. then your answer is 0.6.
Subracting Decimals:
ex. 0.3 - 0.2 = 0.1
subtract 3 by 2 to get the number 1 then subract 0 minus 0 to get 0. Then your answer is 0.1.
Multiplying Decimals:
ex. 16.1 x 2.4 = 38.64 16.1
x 2.4
644
+3220
38.64
Multiply 4 by 1 to get 4 then multiply 6 by 4 to get 24, carry the 2. multiply 4 by 1 plus 2 to get 6 which equals to 644
start a new row, put 0 at the ones place. then multiply 2 by 1 to get 2 then multiply 2 by 6 to get 12 carry the 1 to get 3 which equals to 3220. now add 644 with 3220 to get the answer of 38.64.
Dividing Decimals:
6.23
ex. 31.773 divided by 5.1 = 51 317.73
-306
0117
- 102
153
- 153
000
Remember :
Move the decimal to the right.
To get the answer you need to know how many 51 is in 317 which is 6. then multiply 6 by 1 from 51 then multiply 6 by 5 to get 30 now put them together to get 306. then subract 317 by 306 to get 11 then lower the 7 from 317.73. now calculate how many 51 is in 117 which is 2. now multiply 2 by 1 to get 2 then multiply 2 by 5 to get 10. now put 10 and 2 together which is 102. then subtract 117 by 102 to get 15 then lower the 3 to get the total of 153. then calculate how many 51 is in 153 which is 3. now multiply 3 by 1 to get 3 then multiply 3 by 5 to get 15. now put 15 and 3 together to get 153. then subrtact 153 by 153 which is 0 and that is where you stop and get your answer.
Operations with Decimals
Adding: When adding decimals together you can add the same types of place values of decimals together like the tenths place number together, hundredths place, etc. Afterwards you can add it all up to get your answer.
ex. 3.2+2.4
wholes- 3.+2.=5.
tenths- 0.2+0.4=0.6
5.+0.6=5.6
Subtracting: When subtracting decimals together, like the adding method you can add the same types of place values together. After you can add the numbers together to get your answer.
ex. 5.2-2.1
wholes- 5.-2.=3.
tenths- 0.2-0.1=0.1
3.+0.1=3.1
Multiplying: When multiplying decimals you have to multiply whatever the number you want by the place values of the number your multiplying it with. After add up the numbers to get your answer.
ex. 2x2.13
wholes- 2.x2.=4.
tenths- 2x0.1=0.2
hundredths- 2x0.03=0.06
4.+0.2+0.06=4.26
Dividing: When dividing decimals you can divide the number you want by the place values in the number your multiplying it with. After add up the the numbers to get your answer.
ex. 0.22 divided by 2
tenths- 0.2 divided by 2= 0.1
hundredths- 0.02 divided by 2=0.01
0.10+0.01=0.11
ex. 3.2+2.4
wholes- 3.+2.=5.
tenths- 0.2+0.4=0.6
5.+0.6=5.6
Subtracting: When subtracting decimals together, like the adding method you can add the same types of place values together. After you can add the numbers together to get your answer.
ex. 5.2-2.1
wholes- 5.-2.=3.
tenths- 0.2-0.1=0.1
3.+0.1=3.1
Multiplying: When multiplying decimals you have to multiply whatever the number you want by the place values of the number your multiplying it with. After add up the numbers to get your answer.
ex. 2x2.13
wholes- 2.x2.=4.
tenths- 2x0.1=0.2
hundredths- 2x0.03=0.06
4.+0.2+0.06=4.26
Dividing: When dividing decimals you can divide the number you want by the place values in the number your multiplying it with. After add up the the numbers to get your answer.
ex. 0.22 divided by 2
tenths- 0.2 divided by 2= 0.1
hundredths- 0.02 divided by 2=0.01
0.10+0.01=0.11
Converting Fraction, Decimal, Percent
HELLO! Mika here. I'll be teaching you how to convert fraction, decimal, and percent!
Fraction to Decimal:
You take the numerator and denominator and divide them both together in order to get your decimal.
ex: 2 divided by 4 = 0.5
Decimal to Percent:
Take your decimal and times it by 100. In order to do it without calculator, you move the decimal point to your right of how much 0's you have.
ex: 0.5 x 100 = 40%
Percent to Decimal:
Its just like converting decimal to percent but divide it by 100. When doing it without calculator, you put a decimal point on the last number (on the right) and move it to your left of how much 0's the number your dividing with.
ex: 40 divided by 100= 0.40
Decimal to fraction:
Say it. If your decimal number is in the tenths, your denominator would be 10, if its hundredths, your denominator would be 1000, if its thousandths,your denominator would be 1000.
ex: 0.5= 5/10, 0.55= 55/100, 0.557= 557/1000
Percent to fraction:
Take your percent and make it your numerator, your denominator would always be 100.
ex: 55%= 55/100
Adding: if you are adding a decimal with a whole number, put whatever the whole number is before the decimal to get the answer.
Example: 14 + 0.6 = 14.6
Subtracting: if you are subtracting a decimal from a whole number, take each place value away one at a time to get the answer.
Example: 10 - 0.546 = 9.454
10 - 0.5 = 9.5
9.5 - 0.04 = 9.46
9.46 - 0.006 = 9.454
Multiplying: if you are multiplying a decimal by a whole number, multiply the whole number by each place value. Then, add the numbers together to get the final answer.
Example: 0.324 x 3 = 0.972
3 x 0.3 = 0.9 3 x 0.02 = 0.06 3 x 0.004 = 0.012
0.9 + 0.06 = 0.96 0.96 + 0.012 = 0.972
Dividing: if you are dividing a decimal by a whole number by each place value one at a time. Then, add up the numbers to get the final answer.
Example: 0.14 ÷ 3 = 0.04666...(repeating)
0.1 ÷ 3 = 0.0333...(repeating) 0.04 ÷ 3 = 0.01333...(repeating)
0.0333...(repeating) + 0.01333...(repeating) = 0.04666...(repeating)
Math, Review
Hello I see you need help with your fractions. Let me help you with that.
Lets say you add two fractions together and you get a larger numerator than your denominator.
eg. 2/3 + 453 = 7/3
Now if you need to make it not an improper fraction ill show you how to do it.
eg. 3 divided by 7. You'll probably get 1 2/3. How you may ask, well to get this you need to take the remaining number and that becomes your whole number, after that you'll need too take the number that you used to get your remainder or answer, that number would be 2, lastly you need to get the denominator and well put it as the denominator. and there you have it improper ti mixed numbers.
You could also make to a proper number if you have numbers that go in each other perfectly or smoothly
Lets say you add two fractions together and you get a larger numerator than your denominator.
eg. 2/3 + 453 = 7/3
Now if you need to make it not an improper fraction ill show you how to do it.
eg. 3 divided by 7. You'll probably get 1 2/3. How you may ask, well to get this you need to take the remaining number and that becomes your whole number, after that you'll need too take the number that you used to get your remainder or answer, that number would be 2, lastly you need to get the denominator and well put it as the denominator. and there you have it improper ti mixed numbers.
You could also make to a proper number if you have numbers that go in each other perfectly or smoothly
Saturday, 26 January 2013
Operation with Decimal
Adding: First you add the ones place together then add your tenths,hundredths,thousandths,etc. If your tenths place is higher than ten it means that it has a whole number.
Example: 1.4 + 2.9
1.0+2.0= 3.0 0.4+0.9= 1.3
3.0 + 1.3= 4.3
Subtracting: First you need to subtract the ones place together then subtract the tenths place together and then add the answers together.
Example: 4.3-3.1
4.0-3.0= 1.0 0.3-0.1=0.2
1.0+0.2= 1.2
Multiply: Multiply normally, ignore the decimals.Then just put the decimals in the answer. In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.
Example:
0.03 x 1.1
Ignore the decimals= 3 x 11=33
0.03 has 2 decimals places and 1.1 has 1 decimal place so the answer has 3 decimal places: 0.033
Decimals: Use long division and ignore the decimal point.Then put the decimal point in the same spot as the divided.
Example:9.1 divided by 7
13
Example: 1.4 + 2.9
1.0+2.0= 3.0 0.4+0.9= 1.3
3.0 + 1.3= 4.3
Subtracting: First you need to subtract the ones place together then subtract the tenths place together and then add the answers together.
Example: 4.3-3.1
4.0-3.0= 1.0 0.3-0.1=0.2
1.0+0.2= 1.2
Multiply: Multiply normally, ignore the decimals.Then just put the decimals in the answer. In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.
Example:
0.03 x 1.1
Ignore the decimals= 3 x 11=33
0.03 has 2 decimals places and 1.1 has 1 decimal place so the answer has 3 decimal places: 0.033
Decimals: Use long division and ignore the decimal point.Then put the decimal point in the same spot as the divided.
Example:9.1 divided by 7
13
7 )91
9
7
21
21
0
9
7
21
21
0
Put the decimal point in the answer directly above the decimal point in the divided.
1.3
7 )9.1
7 )9.1
1.3 is the final answer
Mixed and Improper Fractions
Mixed fraction is the same step for improper fractions. First if there is more numerators than denominators you multiply the the denominator by the numerator by how many times the denominator goes into the numerator.
example: if you multiply 10 into 21 the mixed number becomes 2 and the fractions becomes 1/10.
Also if the mixed fraction has a fraction(s) that can be divided 2 or more (this is called lowest terms).
example: 3 5/10 = 3 1/2 (5 is halve of ten).
If you have a mixed fraction and the numerator and denominator are the same this is also putting it in lowest terms. (When they are the same it equals 1 whole).
example: 3 3/3= 4
Improper fractions is a numerator that is higher than the denominator. You have to put it in lowest terms by how many times the denominator can be multiplied into the numerator. The number of denominator that multiplied into the numerator becomes a mixed number while the rest of the numerator becomes the new fraction.
example: 225/50 50x40=200=4 25/50=4 25/50 (lowest term) 4 1/2
If the denominator can be multiplied to equal the numerator it just becomes a whole number.
example: if you multiply 10 into 21 the mixed number becomes 2 and the fractions becomes 1/10.
Also if the mixed fraction has a fraction(s) that can be divided 2 or more (this is called lowest terms).
example: 3 5/10 = 3 1/2 (5 is halve of ten).
If you have a mixed fraction and the numerator and denominator are the same this is also putting it in lowest terms. (When they are the same it equals 1 whole).
example: 3 3/3= 4
Improper fractions is a numerator that is higher than the denominator. You have to put it in lowest terms by how many times the denominator can be multiplied into the numerator. The number of denominator that multiplied into the numerator becomes a mixed number while the rest of the numerator becomes the new fraction.
example: 225/50 50x40=200=4 25/50=4 25/50 (lowest term) 4 1/2
If the denominator can be multiplied to equal the numerator it just becomes a whole number.
Friday, 25 January 2013
Estimating/Rounding
Estimating
Is guessing your answer to solve your problem.
Example:
like 128+1393= My guess (estimation) is 1620.
Doesn't matter if your estimation is wrong, that the point of estimating
Rounding
Rounding is rounding your number to the closes tens,hundreds, thousands and etc...
Example like for tens.
34 = 30
645 = 650
1254=1250
Same goes for hundreds.
1308= 1300
1459=1500
And it goes on and on.
Rounding and Estimating
Round and Estimating is just the same but they combine. Let's say our question is
25+43=___
Rounding--> (30+40)=60 <-- (Guessing the answers to your problem.)
Now just add the left over.
5+3=8
60+8= 68.
Now you have your answer.
Is guessing your answer to solve your problem.
Example:
like 128+1393= My guess (estimation) is 1620.
Doesn't matter if your estimation is wrong, that the point of estimating
Rounding
Rounding is rounding your number to the closes tens,hundreds, thousands and etc...
Example like for tens.
34 = 30
645 = 650
1254=1250
Same goes for hundreds.
1308= 1300
1459=1500
And it goes on and on.
Rounding and Estimating
Round and Estimating is just the same but they combine. Let's say our question is
25+43=___
Rounding--> (30+40)=60 <-- (Guessing the answers to your problem.)
Now just add the left over.
5+3=8
60+8= 68.
Now you have your answer.
Adding Fractions
Adding fractions is easy. There are four ways to add fractions. You can add proper fractions, improper fractions, fractions with unlike denominators, and mixed numbers.Examples are listed below.
Proper Fractions-To add proper fractions, you just add the NUMERATOR, not the DENOMINATOR.
Ex:
2/5 + 1/5 = 3/5
Sometimes, you will get situations like this:
5/6 + 3/6 = 8/6
As you can see, the answer is an improper fraction. You must change the improper fraction into a mixed number. You will then use the mixed number as your final answer.
Improper Fractions-To add improper fractions, you still just add the numerators, and leave the donominators alone, but when you get your answer, you convert it into a mixed number.
Ex:
4/2 + 1/2 = 5/2
Final answer will be 2 and 1/2
Fractions with unlike denominators- To add fractions that both have different denominators, you must find a LEAST common denominator, or LEAST common multiple. To do this, you have to find a number that can go into both fraction's denominators.
Ex:
4/6 + 2/4
The number 12 is the lowest multiple that 4 and 6 can go into. So, we change the 4 and 6, and turn them into 12.
/12 + /12
Next, divide 12 by 6 or 4. We'll go with 6. 12 divided by 6 equals 2. You then multiply this number with the numerator of the fraction that you are changing. So, 2 times 4 equals 8. You have now changed this fraction! Use this method with the other fraction
You should be left with this:
8/12 + 6/12 = 14/12 = 1 and 2/12<--- Final answer
Mixed number-The easiest way to add mixed numbers is to actually add the fractions first, the you add the wholes.
Ex:
1 and 1/2 + 1 and 1/2 = 3
Sometimes, you'll get something like this:
1 and 4/5 + 1 and 2/5
Like I said, add the fractions first
4/5 + 2/5 = 6/5 + 1 and 1/5
Then, just add them all together
1 and 1/5 + 1 + 1 = 3 and 1/5
"This is a post entirely made up by me"
- Blackbird (Raven)
Proper Fractions-To add proper fractions, you just add the NUMERATOR, not the DENOMINATOR.
Ex:
2/5 + 1/5 = 3/5
Sometimes, you will get situations like this:
5/6 + 3/6 = 8/6
As you can see, the answer is an improper fraction. You must change the improper fraction into a mixed number. You will then use the mixed number as your final answer.
Improper Fractions-To add improper fractions, you still just add the numerators, and leave the donominators alone, but when you get your answer, you convert it into a mixed number.
Ex:
4/2 + 1/2 = 5/2
Final answer will be 2 and 1/2
Fractions with unlike denominators- To add fractions that both have different denominators, you must find a LEAST common denominator, or LEAST common multiple. To do this, you have to find a number that can go into both fraction's denominators.
Ex:
4/6 + 2/4
The number 12 is the lowest multiple that 4 and 6 can go into. So, we change the 4 and 6, and turn them into 12.
/12 + /12
Next, divide 12 by 6 or 4. We'll go with 6. 12 divided by 6 equals 2. You then multiply this number with the numerator of the fraction that you are changing. So, 2 times 4 equals 8. You have now changed this fraction! Use this method with the other fraction
You should be left with this:
8/12 + 6/12 = 14/12 = 1 and 2/12<--- Final answer
Mixed number-The easiest way to add mixed numbers is to actually add the fractions first, the you add the wholes.
Ex:
1 and 1/2 + 1 and 1/2 = 3
Sometimes, you'll get something like this:
1 and 4/5 + 1 and 2/5
Like I said, add the fractions first
4/5 + 2/5 = 6/5 + 1 and 1/5
Then, just add them all together
1 and 1/5 + 1 + 1 = 3 and 1/5
"This is a post entirely made up by me"
- Blackbird (Raven)
Converting Fractions, Decimals, Percents
Converting means to change or to turn it into something else .
Decimals to Percents- Multiply by 100 .Ex. 0.62x100=62%
Percents to Decimals- Divide by 100 .
Ex. 48 divide it by 100=0.48
Percents to Fraction- Percent becomes NUMERATOR and 100 becomes DENOMINATOR .
Ex. 58 becomes 58/100
Decimals to Fractions- Say it .
Ex. 0.15= 15/100 , 0.9=9/10
Fraction to Decimals- Fraction means Divide .
Ex. 1/4 becomes 1 divided by 4=0.25
Comparing and Ordering Fractions
Compare:
When your comparing fractions, to tell which one is bigger you can find a denominator that they both have like if it's 3/4 and 7/10 you can multiply 3/4 by 10 (multiply the numerator and the denominator). You will get 30/40, now you must multiply 7/10 by 4 then you'll get 21/40. Now you can compare it
30/40 21/40
30/40 is bigger you now know 3/4 is bigger than 7/10
Ordering: 3/6, 4/12, 1/3, 3/5, 8/10
If your ordering fractions you can make them all have the same denominator.
3/6 X10 4/12 X 5 1/3 X 20 3/5 X 12 8/10 X 6
30/60 20/60 20/60 36/60 48/60
order now
20/60, 20/60, 30/60, 36/60, 48/60
be sure to change it back
1/3, 4/12, 3/6, 3/5, 8/10
When your comparing fractions, to tell which one is bigger you can find a denominator that they both have like if it's 3/4 and 7/10 you can multiply 3/4 by 10 (multiply the numerator and the denominator). You will get 30/40, now you must multiply 7/10 by 4 then you'll get 21/40. Now you can compare it
30/40 21/40
30/40 is bigger you now know 3/4 is bigger than 7/10
Ordering: 3/6, 4/12, 1/3, 3/5, 8/10
If your ordering fractions you can make them all have the same denominator.
3/6 X10 4/12 X 5 1/3 X 20 3/5 X 12 8/10 X 6
30/60 20/60 20/60 36/60 48/60
order now
20/60, 20/60, 30/60, 36/60, 48/60
be sure to change it back
1/3, 4/12, 3/6, 3/5, 8/10
Thursday, 24 January 2013
Estimating/Rounding
Estimating is guessing the answer of an equation.
Example: 1254 + 308
My guess (estimation) is 1518.
Rounding is taking a number and bringing it up to the nearest tenth, hundredth, thousandth, etc. You can also bring them down if the ones place is below 5.
Examples: Rounding 78 to the nearest tenth
78 to 80
Rounding 63 to the nearest tenth
63 to 60
Is this how I'm supposed to post it...?
Sorry if I posted it wrong!
Estimating is guessing the answer of an equation.
Example: 1254 + 308
My guess (estimation) is 1518.
Rounding is taking a number and bringing it up to the nearest tenth, hundredth, thousandth, etc. You can also bring them down if the ones place is below 5.
Examples: Rounding 78 to the nearest tenth
78 to 80
Rounding 63 to the nearest tenth
63 to 60
Is this how I'm supposed to post it...?
Sorry if I posted it wrong!
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