Question

Mitch lost

Answer 1

Question:

Mitch lost 10/3 pounds in 5/7 in a week. Which complex fraction, when simplified, will compute the unit rate of pounds per week?

A)10/3 over 5/7

B)10/3 over 7/5

C)3/10 over 5/7

D)5/7 over 10/3

Answer:

Option A

The unit rate of pounds per week is 10/3 over 5/7

Solution:

Given that,

Mitch lost $\frac{10}{3}$ pounds in $\frac{5}{7}$ of a week

We have to compute the unit rate of pounds per week

Unit rate means that number of pounds lost in 1 week

From given information,

$\text{Weight lost in } \frac{5}{7} \text{ of a week } = \frac{10}{3} \text{ pounds }$

So to find the number of pounds lost in 1 week, divide the total pounds lost (10/3) by the time in weeks (5/7)

$\text{Number of pounds lost in 1 week } = \frac{\text{pounds lost in} \frac{5}{7} \text{ week }}{\frac{5}{7} \text{ week }}$

$\text{Number of pounds lost in 1 week } = \frac{\frac{10}{3}}{\frac{5}{7}}$

Thus unit unit is 10/3 over 5/7