Question

A person walks 2/ 3 of a mile in 2 /9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per hour? A) 2/ 3/ 2/ 9 B) 2/ 3 /9 /2 C) 2/ 9/ 2/ 3 D) 3/ 2/ 2/ 9

Answer 1

unit rate of miles per hour = (2/3) / (2/9) 

Answer 2

Answer :

The required fraction when simplified will compute the unit rate is 3 miles per hour.

Step-by-step explanation:

Given : A person walks $\frac{2}{3}$ of a mile in $\frac{2}{9}$ of a hour.

To find : Which complex fraction when simplified will compute the unit rate of miles per hour?

Solution :

The miles per hour indicated the speed.

i.e. $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Distance =  $\frac{2}{3}$  mile

Time = $\frac{2}{9}$  hour

$\text{Speed}=\dfrac{\frac{2}{3}}{\frac{2}{9}}\ \text{miles/hour}$

$\text{Speed}=\frac{2}{3}\times \frac{9}{2}\ \text{miles/hour}$

$\text{Speed}=3\ \text{miles/hour}$

The required fraction when simplified will compute the unit rate is 3 miles per hour.