Question

express each percent as a fraction:

(86\frac{2}{3}\\%)

answer

Explanation:

Convert mixed number to improper fraction

$$ 86\frac{2}{3} = \frac{86 \times 3 + 2}{3} = \frac{258 + 2}{3} = \frac{260}{3} $$

Divide by 100 to convert percent to fraction

$$ \frac{260}{3}\% = \frac{260}{3} \times \frac{1}{100} = \frac{260}{300} $$

Simplify the fraction

$$ \frac{260}{300} = \frac{26}{30} = \frac{13}{15} $$

Answer:

Express each percent as a fraction:

\(86\frac{2}{3}\%\) = <blank>\(\frac{13}{15}\)</blank>