Question

problem 4 - part b a road crew paved \\(\frac{1}{5}\\)-mile of a road one morning. if this is \\(\frac{3}{4}\\) of the section to be paved, how long is the entire section? find the answer. \\(\square\\) mile get help

Explanation:

Step1: Define total section length

Let $x$ = total section length (miles).

Step2: Set up equation from given info

$\frac{3}{4}x = \frac{1}{5}$

Step3: Solve for x by multiplying reciprocal

$x = \frac{1}{5} \times \frac{4}{3}$
$x = \frac{1 \times 4}{5 \times 3}$
$x = \frac{4}{15}$

Answer:

$\frac{4}{15}$ mile