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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