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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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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