Knight Harrington
08/09/2024 · Primary School
A road is \( \frac{3}{5} \) of a mile long. A crew needs to repave \( \frac{3}{4} \) of the road. How long is the section that needs to be repaved? Write your answer in simplest form. \( \square \) miles
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Tutor-Verified Answer
Step-by-step Solution
To find the length of the section that needs to be repaved, we need to calculate \( \frac{3}{4} \) of the total length of the road, which is \( \frac{3}{5} \) miles.
We can do this by multiplying the two fractions:
\[
\text{Length to be repaved} = \frac{3}{4} \times \frac{3}{5}
\]
To multiply the fractions, we multiply the numerators together and the denominators together:
\[
\frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\]
Thus, the length of the section that needs to be repaved is
\[
\frac{9}{20} \text{ miles}.
\]
This fraction is already in simplest form. Therefore, the answer is
\[
\boxed{\frac{9}{20}} \text{ miles}.
\]
Quick Answer
\(\frac{9}{20}\) miles
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