Answer :
Answer:
She can make 9 uniform tops from the material left.
Step-by-step explanation:
Given:
Yards of material left on the bolt = [tex]6\frac{3}{4}[/tex]
Material requirement for a uniform top for band members = [tex]\frac{3}{4}\ yd[/tex]
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 [tex]6\frac{3}{4}[/tex] yards of material, we need to divide [tex]6\frac{3}{4}\ yd[/tex] by [tex]\frac{3}{4}\ yd[/tex].
Number of uniform tops that can be made is given as:
⇒ [tex]6\frac{3}{4}\div \frac{3}{4}[/tex]
We first convert mixed number to fractions.
⇒ [tex]\frac{27}{4}\div \frac{3}{4}[/tex]
To divide fractions the fractions are multiplied after flipping the divisor.
⇒ [tex]\frac{27}{4}\times \frac{4}{3}[/tex]
⇒ [tex]\frac{27}{3}[/tex]
⇒ 9
Thus, she can make 9 uniform tops from the material left.