Add 3 5/7+7 1/2

. What is the sum?(1 point)
Responses

10 3/14

11 3/14

11 5/7

10 2/3

1 answer

To add 3 5/7 and 7 1/2, you need to find a common denominator for the fractions. In this case, the common denominator is 14.

Converting 3 5/7 to an improper fraction:

3 5/7 = (3 * 7 + 5)/7 = 26/7

Converting 7 1/2 to an improper fraction:

7 1/2 = (7 * 2 + 1)/2 = 15/2

Now you can add the fractions:

26/7 + 15/2 = (26 * 2 + 15 * 7)/(7 * 2) = (52 + 105)/14 = 157/14

So, the sum is 11 3/14.

The correct response is 11 3/14.