How do you simplify fractions? - Examples, Exercises and Solutions

How do you simplify fractions? Or, how do you reduce fractions?

In most cases, when fractions are introduced to students as a new topic in the classroom, the initial reaction is: "Here's another complex subject we have to deal with." But then, reactions change and fractions are seen as a kind of enjoyable game that is more of a technical challenge. So, what's particularly important about fractions? Understanding their meaning, the division of roles between the numerator and the denominator, and how to reduce them. Is it difficult to reduce fractions? Not really.

So, when will you need to reduce the given fractions?

  • At the time it's required in an exercise/test.
  • In case you want to work with smaller fractions.
new example reduce_fractions

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 How do you simplify 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. Simplification and Expansion of Simple Fractions