Question

Hasan has 18 3/4 yards of fabric. It takes 3 1/6 yards to make a pillowcase. Hasan plans to make as many pillow cases as he can. How many yards of fabric is left over?

Answer 1

Answer:

$\frac{35}{38}$ yards of fabric is left over.

Step-by-step explanation:

Hasan has the total length of fabric = $18\frac{3}{4}$ yards

                                                           =  $\frac{75}{4}$ yards

Hasan plans to make as many pillow cases as he can.

To make one pillow case the fabric will be needed =  $3\frac{1}{6}$ yards =  $\frac{19}{6}$ yards

Hasan can make the total number of pillowcases = $\frac{\frac{75}{4} }{\frac{19}{6} }$

=  $\frac{75}{4}$ ×  $\frac{6}{19}$

=  $\frac{75}{2}$ ×  $\frac{3}{19}$

=  $\frac{225}{38}$

=  $5\frac{35}{38}$

He can make 5 pillow cases and  $\frac{35}{38}$ yards of fabric would be left over.

Answer 2

I decided to simply both equations:
75/4 *3   225/12
19/6  *2  38/12
First is to find a common factor which is 12, multiply both sides.

divide 38/225 and you should get 5.92.

Hasan can make a total of 5 pillow cases.