Question

A road is 2/7 of a mile long. A crew needs to repave 2/5 of the road. How long is the section that needs to be repaved?

Answer 1

`(4)/(35)\ miles`

Explanation:

Step 1: Determine the amount that has to be repaved

We are given the total amount of road and the fraction of that road that needs to be repaired. Therefore, we can just multiply those two numbers together and that will give us the section amount that needs to be repaved.

`(2)/(7)* (2)/(5)`

`(2*2)/(7*5)`

`(4)/(35)\ miles`

Answer:
`(4)/(35)\ miles`

Answer 2

`(4)/(35)\:\textsf{miles}`

Explanation:

`\begin{aligned}\frac25 \:\textsf{of} \:\frac27 & =\frac25 * \frac27\\\\ & =(2 * 2)/(5 *7)\\\\ & =(4)/(35)\:\textsf{miles}\end{aligned}`