# Multiplication of Fractions - Examples, Exercises and Solutions

## How to Multiply Fractions

The multiplication of fractions is carried out by multiplying numerator by numerator and denominator by denominator, this is the method.

• In case there is any mixed number - We will convert it into a fraction and then solve according to the learned method.
• In case there is any whole number - We will convert it into a fraction and then solve according to the learned method.
• The commutative property works - We can change the order of the fractions within the exercise without altering its result.

## Examples with solutions for Multiplication of Fractions

### Exercise #1

$\frac{1}{4}\times\frac{4}{5}=$

### Step-by-Step Solution

To multiply fractions, we multiply numerator by numerator and denominator by denominator

1*4 = 4

4*5 = 20

4/20

Note that we can simplify this fraction by 4

4/20 = 1/5

$\frac{1}{5}$

### Exercise #2

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

### Step-by-Step Solution

According to the order of operations rules, we will solve the exercise from left to right since there are only multiplication operations:

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

$\frac{3}{2}\times\frac{1}{3}=$

We will multiply the three by three and get:

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

1\over2$1\over2$

### Exercise #3

$\frac{2}{3}\times\frac{5}{7}=$

### Video Solution

$\frac{10}{21}$

### Exercise #4

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

### Video Solution

$\frac{3}{8}$

### Exercise #5

$\frac{1}{4}\times\frac{1}{2}=$

### Video Solution

$\frac{1}{8}$

### Exercise #6

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

### Video Solution

$\frac{3}{8}$

### Exercise #7

$\frac{3}{5}\times\frac{1}{2}=$

### Video Solution

$\frac{3}{10}$

### Exercise #8

$\frac{1}{6}\times\frac{1}{3}=$

### Video Solution

$\frac{1}{18}$

### Exercise #9

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

### Video Solution

$\frac{3}{8}$

### Exercise #10

$\frac{6}{8}\times\frac{5}{6}=$

### Video Solution

$\frac{5}{8}$

### Exercise #11

$\frac{1}{3}\times\frac{4}{7}=$

### Video Solution

$\frac{4}{21}$

### Exercise #12

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

### Video Solution

$\frac{1}{6}$

### Exercise #13

$\frac{2}{3}\times\frac{3}{4}=$

### Video Solution

$\frac{1}{2}$

### Exercise #14

$\frac{2}{4}\times\frac{1}{2}=$

### Video Solution

$\frac{1}{4}$

### Exercise #15

$\frac{2}{4}\times\frac{4}{5}=$

### Video Solution

$\frac{2}{5}$