# 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.

## Practice Multiplication and division of mixed numbers

### Exercise #1

$1\frac{1}{4}\times1\frac{6}{8}=$

### Video Solution

$2\frac{3}{16}$

### Exercise #2

$2\frac{5}{6}\times1\frac{1}{4}=$

### Video Solution

$3\frac{13}{24}$

### Exercise #3

$1\frac{4}{5}\times2\frac{1}{2}=$

### Video Solution

$4\frac{1}{2}$

### Exercise #4

$2\frac{1}{4}\times1\frac{2}{3}=$

### Video Solution

$3\frac{3}{4}$

### Exercise #5

$1\frac{4}{5}\times1\frac{1}{3}=$

### Video Solution

$2\frac{2}{5}$

### Exercise #1

$4\frac{2}{3}\times1\frac{1}{5}$

### Video Solution

$5\frac{3}{5}$

### Exercise #2

$3\frac{2}{5}\times1\frac{1}{6}=$

### Video Solution

$4\frac{29}{30}$

### Exercise #3

$1\frac{3}{9}\times2\frac{2}{4}=$

### Video Solution

$3\frac{1}{3}$

### Exercise #4

$1\frac{4}{6}\times1\frac{2}{8}=$

### Video Solution

$2\frac{1}{12}$

### Exercise #5

$2\frac{4}{12}\times1\frac{2}{4}=$

### Video Solution

$3\frac{1}{2}$

### Exercise #1

$2\frac{2}{6}\times1\frac{4}{10}=$

### Video Solution

$3\frac{4}{15}$

### Exercise #2

$1\frac{6}{8}\times2\frac{2}{6}=$

### Video Solution

$4\frac{1}{12}$

### Exercise #3

$1\frac{4}{12}\times1\frac{4}{14}=$

### Video Solution

$1\frac{5}{7}$

### Exercise #4

$2\frac{10}{20}\times1\frac{4}{16}=$

### Video Solution

$3\frac{1}{8}$

### Exercise #5

$3\frac{4}{5}\times2\frac{1}{2}=$

### Video Solution

$9\frac{1}{2}$