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
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