Question
What fraction of \( 2 \frac{1}{2} \) is \( \frac{4}{5} ? \)
Ask by Bowen Harper. in the United States
Jan 24,2025
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Tutor-Verified Answer
Answer
\( \frac{8}{25} \)
Solution
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Mind Expander
To find what fraction of \( 2 \frac{1}{2} \) is \( \frac{4}{5} \), we first convert \( 2 \frac{1}{2} \) into an improper fraction. So, \( 2 \frac{1}{2} = \frac{5}{2} \). Now, we set up the equation: \[ \text{Fraction} = \frac{\frac{4}{5}}{\frac{5}{2}} \] To divide by a fraction, we multiply by its reciprocal: \[ = \frac{4}{5} \times \frac{2}{5} = \frac{8}{25} \] Thus, \( \frac{4}{5} \) is \( \frac{8}{25} \) of \( 2 \frac{1}{2} \).