Question

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

Answer 1

Joy used 4 7/24 pounds of nails to build her shed, after adding her two purchases and subtracting the remaining nails. The correct answer is C: 4 7/24.

Step-by-step explanation:

When Joy first went to the store, she bought 2 1/2 pounds of nails for her shed. She then bought 3 5/8 pounds more when she ran out. After completing her shed, she had 1 5/6 pounds of nails left over. To calculate how many pounds of nails Joy used, we need to add her two purchases and then subtract the leftovers.

Joy's total nails purchased = 2 1/2 pounds + 3 5/8 pounds. The combined weight in pounds is 6 1/8. We subtract the leftover nails to find the total used: 6 1/8 pounds - 1 5/6 pounds = 4 7/24 pounds. So, Joy used 4 7/24 pounds of nails to build her shed. Hence, the correct answer is C: 4 7/24.

Answer 2

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