Matthews Thornton
09/22/2023 · Primary School

What percent of 4 is \( \frac{3}{5} \) ? Make sure your answer is fully reduced.

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To find what percent of 4 is \( \frac{3}{5} \), we can set up the equation: \[ x\% \times 4 = \frac{3}{5} \] We can express \( x\% \) as \( \frac{x}{100} \). Thus, the equation becomes: \[ \frac{x}{100} \times 4 = \frac{3}{5} \] Now, we can simplify this: \[ \frac{4x}{100} = \frac{3}{5} \] Next, we can multiply both sides by 100 to eliminate the fraction: \[ 4x = \frac{3}{5} \times 100 \] Calculating the right side: \[ \frac{3 \times 100}{5} = \frac{300}{5} = 60 \] So we have: \[ 4x = 60 \] Now, divide both sides by 4 to solve for \( x \): \[ x = \frac{60}{4} = 15 \] Thus, \( \frac{3}{5} \) is \( 15\% \) of 4. The final answer is: \[ \boxed{15} \]

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\( \frac{3}{5} \) is 15% of 4.
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