# Simplification and Expansion of Simple Fractions - Examples, Exercises and Solutions

## Simplification and Expansiono f Simple Fractions

### To amplify fractions

We will perform the same multiplication operation on the numerator and the denominator: the value of the fraction will be preserved.

You can expand as many times as you want and by any number.

### To simplify fractions:

We will perform the same division operation on the numerator and the denominator: the value of the fraction will be preserved.

This can only be done with a number that is completely divisible by both the numerator and the denominator.

It is possible to simplify only until reaching a fraction in which it is not possible to find a number that divides without remainder both in the numerator and the denominator.

## Practice Simplification and Expansion of Simple Fractions

### Exercise #1

Simplify the following fraction:

$\frac{16}{8}=$

### Video Solution

$\frac{8}{4}$

### Exercise #2

Simplify the following fraction:

$\frac{1}{1}=$

### Video Solution

$\frac{1}{1}$

### Exercise #3

Simplify the following fraction:

$\frac{2}{10}=$

### Video Solution

$\frac{1}{5}$

### Exercise #4

Simplify the following fraction:

$\frac{4}{16}=$

### Video Solution

$\frac{1}{4}$

### Exercise #5

Simplify the following fraction:

$\frac{12}{4}=$

### Video Solution

$\frac{3}{1}$

### Exercise #1

Simplify the following fraction by a factor of 1:

$\frac{3}{10}=$

### Video Solution

$\frac{3}{10}$

### Exercise #2

Simplify the following fraction by a factor of 3:

$\frac{3}{6}=$

### Video Solution

$\frac{1}{2}$

### Exercise #3

Simplify the following fraction by a factor of 5:

$\frac{15}{10}=$

### Video Solution

$\frac{3}{2}$

### Exercise #4

Simplify the following fraction:

$\frac{12}{8}=$

### Video Solution

$\frac{6}{4}$

### Exercise #5

Simplify the following fraction by a factor of 4:

$\frac{4}{8}=$

### Video Solution

$\frac{1}{2}$

### Exercise #1

Increase the following fraction by a factor of 10:

$\frac{1}{16}=$

### Video Solution

$\frac{10}{160}$

### Exercise #2

Increase the following fraction by a factor of 2:

$\frac{10}{12}=$

### Video Solution

$\frac{20}{24}$

### Exercise #3

Increase the following fraction by a factor of 3:

$\frac{6}{10}=$

### Video Solution

$\frac{18}{30}$

### Exercise #4

Increase the following fraction by a factor of 5:

$\frac{3}{10}=$

### Video Solution

$\frac{15}{50}$

### Exercise #5

Increase the following fraction by a factor of 8:

$\frac{8}{9}=$

### Video Solution

$\frac{64}{72}$