Kaya ran 1 2/5 miles on Monday and 2 1/3 miles on Tuesday

Kaya ran 1 2/5 miles on Monday and 2 1/3 miles on Tuesday. What was the total distance, in miles, Kaya ran during those 2 days?

1. 3 2/15
2. 3 3/8
3. 3 2/5
4. 3 7/15
5. 3 11/15

Answer

The correct answer is E.

To find the total distance, in miles, Kaya ran, you need the sum of 1 2/5 and 2 1/3. To add mixed numbers together, each fraction must have a common denominator.

Because 3 and 5 do not have any common factors besides 1, the least common denominator is 3(5), or 15. To convert 2/5, you multiply by 3/3 . The result is 6/15. To convert 1/3, you multiply by 5/5. The result is 5/15.

To add 1 6/15 and 2 5/15, you first add 1 and 2 and then 6/15 + 5/15. The result is 3 11/15.