Question

multiply.
2·5\frac{1}{5}

2·5\frac{1}{5}=\square (type an integer, proper fraction, or a mixed number.)

Explanation:

Step1: Convert mixed number to improper fraction

$5\frac{1}{5}=\frac{5\times5 + 1}{5}=\frac{25+1}{5}=\frac{26}{5}$

Step2: Multiply integer and improper fraction

$2\times\frac{26}{5}=\frac{2\times26}{5}=\frac{52}{5}$

Step3: Convert improper fraction to mixed number

$\frac{52}{5}=10\frac{2}{5}$

Answer:

$10\frac{2}{5}$