Question

How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 31/2 yards long, and 5 pieces, each 21/4 yards long, are removed? I need help with the fraction part, answers have to be in fraction form, not decimal.

Answer 1

The total length of the pieces being removed is 21 3/4 yards.

That is,
(3 * 3 1/2) + (5 * 2 1/4)
10 1/2 + 11 1/4
10 2/4 + 11 1/4 (making the denominator common)
21 3/4 yards.

So the length of the remaining cloth
24 - 21 3/4 = 2 1/4 yards.

The length of the remaining cloth is 2 1/4 yards which is now a fraction form.

I hope that helps you.