When joy first went to the store to buy nail for a shed she was building, she bought 2 1/2 pounds of nails she eventually ran out of nails and bought 3 5/8 pounds more when she was finished she had 1 5/6 pounds of nails left over how many pounds of nails did joy use to build her shed reduce your answer to lowest terms

A: 6 1/8

B: 6 1/2

C: 4 7/24

D: 4 14/48

2 1/2 + 3 5/8 - 1 5/6 = ?

First let's convert all the mixed numbers to improper fractions.

5/2 + 29/8 - 11/6

Now find the common denominator.

We have 2, 8, and 6. We can disregard 2 because it is a factor of both 8 and 6 so any common denominator for 8 and 6 will work for 2.

Multiples of 8: 8, 16, 24

Multiples of 6: 6, 12, 18, 24

Now rewrite each fraction with a denominator of 24.

60/24 + 87/24 - 44/24

(60+87-44) / 24

Answer: 103/24 pounds