Fractions Addition: Mixed Fractions

To add mixed fractions, just add the numbers - the whole numbers - and then add the fractions.

Our first example is 1 1/7 + 3 3/7:

1 + 3 = 4

1/7 + 3/7 = 4/7.

So, the answer is 4 4/7.

Our next example is 2 1/2 + 3 1/4

2 + 3 = 5.

We saw in Fractions Addition: Simple Fractions, Least Common Denominator that

1/2 + 1/4

gets rewritten as

2/4 + 1/4

2/4 + 1/4 = 3/4. So, the answer is 5 3/4.

If you end up with a fraction that is 1 or greater than one (an improper fraction), you should reduce this fraction. However, because you are just learning how to add mixed fractions, FoxyMath will accept an improper fraction as part of your answer. Please review Fractions Introduction if you don't understand how to convert an improper fraction to a mixed fraction.

Our last example is 2 3/5 + 6 4/5

2 + 6 = 8

3 + 4 = 7.

So, the answer is 8 7/5.

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