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

Question

asked Jun 25, 2021 201k views

1 Answer

Ramashish Baranwal · Answer 1 · 2021-07-01T13:00:10+0000

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

Option A

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

Given that,

Mitch lost
(10)/(3) pounds in
(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,

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

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)

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

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

Thus unit unit is 10/3 over 5/7