Question

8. John making a quilt and needs 16 yards of fabric. Thefabric only comes in foot sections. If he buys five sections,how much fabric will he have left over?

Answer 1

3 1/2 as a improper fraction is:

`3(1)/(2)=(3\cdot2+1)/(2)=(7)/(2)\text{ ft}`

Given that he buys 5 sections, the total length of fabric is:

`5\cdot(7)/(2)=(5\cdot7)/(2)=(35)/(2)\text{ ft}`

3 feet are equivalent to 1 yard. Converting 35/2 ft into yards:

`(35)/(2)\text{ ft}\cdot\frac{1\text{ yd}}{3\text{ ft}}=(35)/(2\cdot3)=(35)/(6)\text{ yd}`

16 1/2 as a improper fraction is:

`16(1)/(2)=(16\cdot2+1)/(2)=(33)/(2)\text{ yd}`

There is no leftover because 33/2 yd (the amount of fabric needed) is greater than 35/6 yd (the amount of fabric purchased)