Question

write each fraction or mixed number as a percent.
$2\frac{4}{11}$
answer
\\(\square\\)\\%

Explanation:

Step1: Convert mixed number to improper fraction

A mixed number \( 2\frac{4}{11} \) can be converted to an improper fraction by the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). Here, \( a = 2 \), \( b = 4 \), \( c = 11 \), so \( 2\frac{4}{11}=\frac{2\times11 + 4}{11}=\frac{22 + 4}{11}=\frac{26}{11} \).

Step2: Divide numerator by denominator to get decimal

Divide 26 by 11: \( \frac{26}{11}\approx2.3636 \) (rounded to four decimal places).

Step3: Convert decimal to percent

To convert a decimal to a percent, multiply by 100. So \( 2.3636\times100 = 236.36\% \) (rounded to two decimal places).

Answer:

\( 236.36\% \) (or if we keep more precision during division, the exact repeating decimal as a percent would be \( 236.\overline{36}\% \))