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

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: $\frac{43}{5}$  = 8.6

Option B: $\frac{33}{4}$ = 8.25

Option C: $\frac{78}{9}$ = 8.6667

Option D: $\frac{22}{3}$ = 7.33....

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

Answer 2

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.