Question

A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the bolt, how many uniform tops can she make?

Answer 1

She can make 9 uniform tops from the material left.

Explanation:

Given:

Yards of material left on the bolt =
`6(3)/(4)`

Material requirement for a uniform top for band members =
`(3)/(4)\ yd`

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from
`6(3)/(4)` yards of material, we need to divide
`6(3)/(4)\ yd` by
`(3)/(4)\ yd`.

Number of uniform tops that can be made is given as:

⇒
`6(3)/(4)/ (3)/(4)`

We first convert mixed number to fractions.

⇒
`(27)/(4)/ (3)/(4)`

To divide fractions the fractions are multiplied after flipping the divisor.

⇒
`(27)/(4)* (4)/(3)`

⇒
`(27)/(3)`

⇒ 9

Thus, she can make 9 uniform tops from the material left.