Question

What is the sum of ​ 4/15 + 8| 1/3 ​ ?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

8 3/5

Explanation:

Fractions are added using a common denominator. Here, the denominator 3 is a factor of the denominator 15, so the common denominator can be 15, which is the least common multiple of the two numbers.

The fraction 1/3 is equal to 5/15, found by multiplying by 1 in the form 5/5. Then the sum is ...

4/15 + 8 5/15 = 8 + (4/15 +5/15) = 8 9/15

The fraction 9/15 can be reduced by factoring out 3/3: 9/15 = (3/5)(3/3). Then the reduced mixed number sum is ...

4/15 +8 1/3 = 8 3/5