Question

Darcy and Leah are looking at some fabric selections in a store. All of the selections are marked the same price, and the amount, in yards, of each fabric is written as an improper fraction. Which amount is the greatest? A. 43⁄5 B. 33⁄4 C. 78⁄9 D. 22⁄3

Answer 1

Lets convert all values in the decimal expanded form.

A. 43/5 = 8.6

B. 33/4 = 8.25

C. 78/9 = 8.666...

D. 22/3 = 7.333...

From above, 8.666... is the greatest among all.

Hence, the greatest amount is 78/9.

Answer 2

We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.

Option A:
`(43)/(5)` = 8.6

Option B:
`(33)/(4)` = 8.25

Option C:
`(78)/(9)` = 8.6667

Option D:
`(22)/(3)` = 7.33....

Hence, the longest fabric is the one given in option C, and its length is 8.6667