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.

Suggested Topics to Practice in Advance

  1. A fraction as a divisor
  2. Numerator
  3. Denominator
  4. Fractions
  5. Part of a quantity
  6. Placing Fractions on the Number Line
  7. Common denominator

Practice Simplification and Expansion of Simple Fractions

Exercise #1

Simplify the following fraction:

168= \frac{16}{8}=

Video Solution

Answer

84 \frac{8}{4}

Exercise #2

Simplify the following fraction:

11= \frac{1}{1}=

Video Solution

Answer

11 \frac{1}{1}

Exercise #3

Simplify the following fraction:

210= \frac{2}{10}=

Video Solution

Answer

15 \frac{1}{5}

Exercise #4

Simplify the following fraction:

416= \frac{4}{16}=

Video Solution

Answer

14 \frac{1}{4}

Exercise #5

Simplify the following fraction:

124= \frac{12}{4}=

Video Solution

Answer

31 \frac{3}{1}

Exercise #1

Simplify the following fraction by a factor of 1:

310= \frac{3}{10}=

Video Solution

Answer

310 \frac{3}{10}

Exercise #2

Simplify the following fraction by a factor of 3:

36= \frac{3}{6}=

Video Solution

Answer

12 \frac{1}{2}

Exercise #3

Simplify the following fraction by a factor of 5:

1510= \frac{15}{10}=

Video Solution

Answer

32 \frac{3}{2}

Exercise #4

Simplify the following fraction:

128= \frac{12}{8}=

Video Solution

Answer

64 \frac{6}{4}

Exercise #5

Simplify the following fraction by a factor of 4:

48= \frac{4}{8}=

Video Solution

Answer

12 \frac{1}{2}

Exercise #1

Increase the following fraction by a factor of 10:

116= \frac{1}{16}=

Video Solution

Answer

10160 \frac{10}{160}

Exercise #2

Increase the following fraction by a factor of 2:

1012= \frac{10}{12}=

Video Solution

Answer

2024 \frac{20}{24}

Exercise #3

Increase the following fraction by a factor of 3:

610= \frac{6}{10}=

Video Solution

Answer

1830 \frac{18}{30}

Exercise #4

Increase the following fraction by a factor of 5:

310= \frac{3}{10}=

Video Solution

Answer

1550 \frac{15}{50}

Exercise #5

Increase the following fraction by a factor of 8:

89= \frac{8}{9}=

Video Solution

Answer

6472 \frac{64}{72}

Topics learned in later sections

  1. How do you simplify fractions?