How to Multiply Mixed Numbers? (+FREE Worksheet!)

Multiplying Mixed Numbers – Example 1:

Multiply mixed numbers. \(2 \ \frac{1}{4} \ \times \ 3 \ \frac{1}{2}=\)

Solution:

Converting mixed numbers to fractions, \(2 \ \frac{1}{4}=\frac{9}{4}\) and \(3 \ \frac{1}{2}=\frac{7}{2}\).
\(\frac{9}{4} \ \times \ \frac{7}{2}\),

Applying the fractions rule for multiplication, \(\frac{9}{4} \ \times \ \frac{7}{2}=\) \(\frac{9 \ \times \ 7}{4 \ \times \ 2}=\frac{63}{8}=7 \ \frac{7}{8}\)

Multiplying Mixed Numbers – Example 2:

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

Solution:

Converting mixed numbers to fractions, \(5 \ \frac{2}{3}=\frac{17}{3}\) and \(3 \ \frac{3}{4}=\frac{15}{4}\).
\(\frac{17}{3} \ \times \ \frac{15}{4}\),

Applying the fractions rule for multiplication, \(\frac{17}{3} \ \times \ \frac{15}{4}=\) \(\frac{17 \ \times \ 15}{3 \ \times \ 4}=\frac{255}{12}=\frac {255÷ 3} {12÷ 3} =\frac {85} {4}= 21 \ \frac{1}{4}\)

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Multiplying Mixed Numbers – Example 3:

Multiply mixed numbers. \(3 \ \frac{2}{3} \ \times \ 2 \ \frac{1}{2}=\)

Solution:

Converting mixed numbers to fractions, \(3 \ \frac{2}{3}=\frac{11}{3}\) and \(2 \ \frac{1}{2}=\frac{5}{2}\).
\(\frac{11}{3}×\frac{5}{2} \),

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Applying the fractions rule for multiplication, \(\frac{11}{3}×\frac{5}{2} =\) \(\frac{11×5}{3×2}=\frac{55}{6}=9 \ \frac{1}{6}\)

Multiplying Mixed Numbers – Example 4:

Multiply mixed numbers. \(4 \ \frac{3}{5} \ \times \ 2 \ \frac{1}{3}=\)

Solution:

Converting mixed numbers to fractions, \(4 \ \frac{3}{5}=\frac{23}{5}\) and \(2 \ \frac{1}{3}=\frac{7}{3}\).
\(\frac{23}{5} \ \times \ \frac{7}{3}\),

Applying the fractions rule for multiplication, \(\frac{23}{5} \ \times \ \frac{7}{3}=\) \(\frac{23×7}{5×3}=\frac{161}{15}=10 \ \frac{11}{15}\)

Exercises for Multiplying Mixed Numbers

Multiplying Mixed Numbers

Find each product.

1. \(\color{blue}{1\frac{2}{3} \times 1\frac{1}{4}}\)
2. \(\color{blue}{1\frac{3}{5} \times 1\frac{2}{3}}\)
3. \(\color{blue}{1\frac{2}{3} \times 3\frac{2}{7}}\)
4. \(\color{blue}{4\frac{1}{8} \times 1\frac{2}{5}}\)
5. \(\color{blue}{2\frac{2}{5} \times 3\frac{1}{5}}\)
6. \(\color{blue}{1\frac{1}{3} \times 1\frac{2}{3}}\)

ِِDownload Multiplying and Dividing Mixed Numbers Worksheet

1. \(\color{blue}{2\frac{1}{12}}\)
2. \(\color{blue}{2\frac{2}{3}}\)
3. \(\color{blue}{5\frac{10}{21}}\)
4. \(\color{blue}{5\frac{31}{40}}\)
5. \(\color{blue}{7\frac{17}{25}}\)
6. \(\color{blue}{2\frac{2}{9}}\)

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Watch this practice video for additional examples and reinforcement:

Watch this practice video for additional examples and reinforcement:

Watch this practice video for additional examples and reinforcement: