Question

What is the product of the reciprocal of 2/3, 1/8, and 5?

A. 5/12

B. 15/16

C. 2-2/5

D.9-1/10.

The answer key says (C) but I’m getting 12/5 so I’m confused

Answer 1

well, the key and you are absolutely correct, so you're golden

`\stackrel{reciprocals}{\cfrac{3}{2}\cdot \cfrac{8}{1}\cdot \cfrac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{8}{2}\cdot \cfrac{1}{1}\implies \cfrac{3}{5}\cdot \cfrac{4}{1}\cdot \cfrac{1}{1}\implies \cfrac{12}{5}\implies \cfrac{10+2}{5} \\\\\\ \cfrac{10}{5}+\cfrac{2}{5}\implies 2+\cfrac{2}{5}\implies 2(2)/(5) ~~ \checkmark`

Answer 2

c

Explanation:

2-2/5=12/5

12/5=

2-2/5 is the mixed fraction for the number 12/5