How to Multiply and Divide Fractions? (+FREE Worksheet!)

How to multiply and divide fractions, step by step: the rule in plain language, solved examples worked one line at a time, and practice questions so you can try it yourself before moving on.

Multiplying and Dividing Fractions, Example 1:

Multiply fractions. \(\frac{2}{5} \times \frac{3}{4}=\)

Solution:

Multiply the top numbers and multiply the bottom numbers.
(frac{2}{5} times frac{3}{4}= frac{2 times 3}{5 times 4}=frac{6}{20}), simplify: (frac{6}{20} = frac{6 div 2}{20 div 2}=frac{3}{10})

Multiplying and Dividing Fractions, Example 2:

Divide fractions. \(\frac{1}{2} \div \frac{3}{5}=\)

Solution:

Keep the first fraction, change the division sign to multiplication, and flip the numerator and denominator of the second fraction. Then: (frac{1}{2} times frac{5}{3} = frac{1 times 5}{2 times 3}=frac{5}{6})

Multiplying and Dividing Fractions, Example 3:

Multiply fractions. \(\frac{5}{6} \times \frac{3}{4}=\)

Solution:

Multiply the top numbers and multiply the bottom numbers.
\( \frac{5}{6}×\frac{3}{4}=\frac{5×3}{6×4}=\frac{15}{24}\), simplify: \(\frac{15}{24}=\frac{15÷3}{24÷3}=\frac{5}{8}\)

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Multiplying and Dividing Fractions, Example 4:

Divide fractions. \(\frac{1}{4} \div \frac{2}{3}=\)

Solution:

Keep the first fraction, change the division sign to multiplication, and flip the numerator and denominator of the second fraction. Then: \(\frac{1}{4}×\frac{3}{2}=\frac{1×3}{4×2}=\frac{3}{8 }\)

Exercises for Multiplying and Dividing Fractions

Multiplying and Dividing Fractions

Calculate. Simplify if necessary.

1. \(\color{blue}{\frac{1}{5} \times \frac{2}{3}}\)
2. \(\color{blue}{\frac{3}{4} \times \frac{2}{3}}\)
3. \(\color{blue}{\frac{2}{5} \times \frac{3}{7}}\)
4. \(\color{blue}{\frac{2}{9} \div \frac{1}{4}}\)
5. \(\color{blue}{\frac{1}{2} \div \frac{1}{3}}\)
6. \(\color{blue}{\frac{6}{11} \div \frac{3}{4}}\)

Download Multiplying and Dividing Fractions Worksheet

1. \(\color{blue}{\frac{2}{15}}\)
2. \(\color{blue}{\frac{1}{2}}\)
3. \(\color{blue}{\frac{6}{35}}\)
4. \(\color{blue}{\frac{8}{9}}\)
5. \(\color{blue}{\frac{3}{2}}\)
6. \(\color{blue}{\frac{8}{11}}\)

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