Multiplication and division of mixed numbers - Examples, Exercises and Solutions

Multiplication and Division of Mixed Numbers

First step:
Let's reduce the fractions if possible.
Second step:
Let's convert the mixed numbers into fractions.

In multiplications

We will operate according to the method of numerator by numerator and denominator by denominator.

In divisions:

We will change the operation from division to multiplication and swap the locations between the numerator and the denominator in the second fraction -that is, the fraction that is after the sign.
Then we will solve by multiplying numerator by numerator and denominator by denominator.

Suggested Topics to Practice in Advance

  1. Mixed Numbers and Fractions Greater Than 1
  2. Addition and Subtraction of Mixed Numbers
  3. Multiplication of Integers by a Fraction and a Mixed Number

Practice Multiplication and division of mixed numbers

Exercise #1

114×168= 1\frac{1}{4}\times1\frac{6}{8}=

Video Solution

Answer

2316 2\frac{3}{16}

Exercise #2

256×114= 2\frac{5}{6}\times1\frac{1}{4}=

Video Solution

Answer

31324 3\frac{13}{24}

Exercise #3

145×212= 1\frac{4}{5}\times2\frac{1}{2}=

Video Solution

Answer

412 4\frac{1}{2}

Exercise #4

214×123= 2\frac{1}{4}\times1\frac{2}{3}=

Video Solution

Answer

334 3\frac{3}{4}

Exercise #5

145×113= 1\frac{4}{5}\times1\frac{1}{3}=

Video Solution

Answer

225 2\frac{2}{5}

Exercise #1

423×115 4\frac{2}{3}\times1\frac{1}{5}

Video Solution

Answer

535 5\frac{3}{5}

Exercise #2

325×116= 3\frac{2}{5}\times1\frac{1}{6}=

Video Solution

Answer

42930 4\frac{29}{30}

Exercise #3

139×224= 1\frac{3}{9}\times2\frac{2}{4}=

Video Solution

Answer

313 3\frac{1}{3}

Exercise #4

146×128= 1\frac{4}{6}\times1\frac{2}{8}=

Video Solution

Answer

2112 2\frac{1}{12}

Exercise #5

2412×124= 2\frac{4}{12}\times1\frac{2}{4}=

Video Solution

Answer

312 3\frac{1}{2}

Exercise #1

226×1410= 2\frac{2}{6}\times1\frac{4}{10}=

Video Solution

Answer

3415 3\frac{4}{15}

Exercise #2

168×226= 1\frac{6}{8}\times2\frac{2}{6}=

Video Solution

Answer

4112 4\frac{1}{12}

Exercise #3

1412×1414= 1\frac{4}{12}\times1\frac{4}{14}=

Video Solution

Answer

157 1\frac{5}{7}

Exercise #4

21020×1416= 2\frac{10}{20}\times1\frac{4}{16}=

Video Solution

Answer

318 3\frac{1}{8}

Exercise #5

345×212= 3\frac{4}{5}\times2\frac{1}{2}=

Video Solution

Answer

912 9\frac{1}{2}

Topics learned in later sections

  1. Dividing Whole Numbers by Fractions and Mixed Numbers
  2. Mixed Numbers