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)
  •  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. 
Then after you add whatever is left, which is ¼. ¼ + 16 = 17/4. 


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.)

           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   

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:
ex. 31.773 divided by 5.1 =       51  317.73
                                                        -  102   
                                                        -   153  
 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

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

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

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

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

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.
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 
7 )91

Put the decimal point in the answer directly above the decimal point in the divided.

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.


Friday, 25 January 2013


 Is guessing your answer to solve your problem.

        like 128+1393= My guess (estimation) is 1620.
 Doesn't matter if your estimation is wrong, that the point of estimating


Rounding is rounding your number to the closes tens,hundreds, thousands and etc...
  Example like for tens.
 34 = 30
645 = 650

Same goes for hundreds.
1308= 1300
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

Rounding-->  (30+40)=60 <-- (Guessing the answers to your problem.)
Now just add the left over.
    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.
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.
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.
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.
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

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 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!