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 [tex]\frac{10}{3}[/tex] pounds in [tex]\frac{5}{7}[/tex] 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,
[tex]\text{Weight lost in } \frac{5}{7} \text{ of a week } = \frac{10}{3} \text{ pounds }[/tex]
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)
[tex]\text{Number of pounds lost in 1 week } = \frac{\text{pounds lost in} \frac{5}{7} \text{ week }}{\frac{5}{7} \text{ week }}[/tex]
[tex]\text{Number of pounds lost in 1 week } = \frac{\frac{10}{3}}{\frac{5}{7}}[/tex]
Thus unit unit is 10/3 over 5/7
