fundamentals of math

Question

A sporting goods manufacturer has 40 2/7 yd of fabric to make soccer shorts. Each pair of soccer shorts requires 3/5 yd of fabric.

Answer 1

If you meant 40 and 2/7 yards:

First, change this to a fraction:

40 x 7 = 280 so the manufacturer has 282/7 yards

Find a common denominator:

The denominators are 5 and 7

5 x 7 = 35

3/5ths = 21/35ths

282/7ths = 1410/35ths

Each pair of shorts needs 21/35ths out of the 1410/35ths

So 1410/21 is how many shorts they can make

1410/21 = 67.1

You can't make a fraction of a pair of shorts, so the answer is 67 pairs of shorts.