Showing posts with label Fractions. Show all posts
Showing posts with label Fractions. Show all posts
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.
Friday, 25 January 2013
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
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