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

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.

Answer 2

`(35)/(38)` yards of fabric is left over.

Explanation:

Hasan has the total length of fabric =
`18(3)/(4)` yards

=
`(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(1)/(6)` yards =
`(19)/(6)` yards

Hasan can make the total number of pillowcases =
`((75)/(4) )/((19)/(6) )`

=
`(75)/(4)` ×
`(6)/(19)`

=
`(75)/(2)` ×
`(3)/(19)`

=
`(225)/(38)`

=
`5(35)/(38)`

He can make 5 pillow cases and
`(35)/(38)` yards of fabric would be left over.