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)






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