Long Valdez
05/07/2024 · Primary School
What percent of \( \frac{4}{5} \) is \( \frac{1}{5} ? \)
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Tutor-Verified Answer
Step-by-step Solution
To find what percent of \( \frac{4}{5} \) is \( \frac{1}{5} \), we can set up the equation:
\[
x\% \text{ of } \frac{4}{5} = \frac{1}{5}
\]
This can be rewritten in terms of \( x \):
\[
\frac{x}{100} \cdot \frac{4}{5} = \frac{1}{5}
\]
To eliminate the fraction, we can multiply both sides by 100:
\[
x \cdot \frac{4}{5} = 20
\]
Next, we solve for \( x \) by isolating it:
\[
x = 20 \cdot \frac{5}{4}
\]
Calculating the right side:
\[
x = 20 \cdot 1.25 = 25
\]
Thus, \( x = 25 \). Therefore, \( \frac{1}{5} \) is \( \boxed{25} \) percent of \( \frac{4}{5} \).
Quick Answer
\( \frac{1}{5} \) is 25% of \( \frac{4}{5} \).
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