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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Tutor-Verified Answer
Step-by-step Solution
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:
\[
\boxed{15}
\]
Quick Answer
\( \frac{3}{5} \) is 15% of 4.
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