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Multiply fractions

Multiply a mixed number by a whole number

To multiply a mixed number by a whole number.

 Step 1. Write the whole number as an improper fraction with 1 as the denominator. Step 2. Write the mixed number as an improper fraction. Step 3. Multiply Step 4. Simplify

Multiply $2\cdot4\frac{1}{5}\;$. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Write 2 as an improper fraction.

$2=\frac{2}{1}\;$

Write $4\frac{1}{5}\;$ as an improper fraction.

$4\frac{1}{5}=\frac{(4\cdot5)+1}{5}=\frac{21}{5}\;$

Multiply the numerators and multiply the denominators.

$\frac{2}{1}\cdot\frac{21}{5}=\frac{2\cdot21}{1\cdot5}=\frac{42}{5}\;$

Simplify the product.

$\frac{42}{5}=8\frac{2}{5}$

Multiply 1 x 8$\frac{6}{7}$
 Solution:

Simplify your answer and write it as a proper fraction or as a whole or mixed number.