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\\(\\frac{13}{15}\\%\\) of a quantity is equal to what fraction of the …

Question

\\(\frac{13}{15}\\%\\) of a quantity is equal to what fraction of the quantity?

\\(\frac{13}{15}\\%\\) of a quantity is equal to \\(\square\\) of the quantity.
(simplify your answer.)

Explanation:

Convert the percent to a fraction

$$ \frac{13}{15}\% = \frac{\frac{13}{15}}{100} $$

Simplify the complex fraction

$$ \frac{13}{15} \div 100 = \frac{13}{15} \times \frac{1}{100} = \frac{13}{1500} $$

Answer:

\(\frac{13}{15}\%\) of a quantity is equal to <blank>\(\frac{13}{1500}\)</blank> of the quantity.