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?

Examples with solutions for How do you simplify fractions?

Exercise #1

Simplify the following fraction:

11= \frac{1}{1}=

Video Solution

Step-by-Step Solution

Let's reduce as follows, we'll divide both the numerator and denominator by 1:

1:11:1=11 \frac{1:1}{1:1}=\frac{1}{1}

Answer

11 \frac{1}{1}

Exercise #2

Simplify the following fraction:

124= \frac{12}{4}=

Video Solution

Step-by-Step Solution

Let's reduce as follows, divide the numerator by 4 and the denominator by 4:

12:44:4=31 \frac{12:4}{4:4}=\frac{3}{1}

Answer

31 \frac{3}{1}

Exercise #3

Simplify the following fraction:

128= \frac{12}{8}=

Video Solution

Step-by-Step Solution

Let's simplify as follows, we'll divide both the numerator by 2 and the denominator by 2:

12:28:2=64 \frac{12:2}{8:2}=\frac{6}{4}

Answer

64 \frac{6}{4}

Exercise #4

Simplify the following fraction:

168= \frac{16}{8}=

Video Solution

Step-by-Step Solution

Let's simplify as follows, we'll divide both the numerator by 2 and the denominator by 2:

16:28:2=84 \frac{16:2}{8:2}=\frac{8}{4}

Answer

84 \frac{8}{4}

Exercise #5

Simplify the following fraction:

210= \frac{2}{10}=

Video Solution

Step-by-Step Solution

Let's simplify as follows, we'll divide both the numerator by 2 and the denominator by 2:

2:210:2=15 \frac{2:2}{10:2}=\frac{1}{5}

Answer

15 \frac{1}{5}

Exercise #6

Simplify the following fraction:

416= \frac{4}{16}=

Video Solution

Step-by-Step Solution

We will reduce in the following way, divide the numerator by 4 and the denominator by 4:

4:416:4=14 \frac{4:4}{16:4}=\frac{1}{4}

Answer

14 \frac{1}{4}

Exercise #7

Simplify the following fraction by a factor of 1:

310= \frac{3}{10}=

Video Solution

Step-by-Step Solution

We will reduce in the following way, divide the numerator by 1 and the denominator by 1:

3:110:1=310 \frac{3:1}{10:1}=\frac{3}{10}

Answer

310 \frac{3}{10}

Exercise #8

Simplify the following fraction by a factor of 3:

36= \frac{3}{6}=

Video Solution

Step-by-Step Solution

We will reduce as follows, divide the numerator by 3 and the denominator by 3:

3:36:3=12 \frac{3:3}{6:3}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #9

Simplify the following fraction by a factor of 4:

48= \frac{4}{8}=

Video Solution

Step-by-Step Solution

Let's simplify as follows, we'll divide both the numerator by 4 and the denominator by 4:

4:48:4=12 \frac{4:4}{8:4}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #10

Simplify the following fraction by a factor of 5:

1510= \frac{15}{10}=

Video Solution

Step-by-Step Solution

Let's reduce as follows, we'll divide both the numerator and denominator by 5:

15:510:5=32 \frac{15:5}{10:5}=\frac{3}{2}

Answer

32 \frac{3}{2}

Exercise #11

Simplify the following fraction and specify the simplification factor:

1636 \frac{16}{36}

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 18.

Therefore:

16:236:2=818 \frac{16:2}{36:2}=\frac{8}{18}

Answer

818 \frac{8}{18} , factor of 2

Exercise #12

Simplify the following fraction and specify the simplification factor:

2050 \frac{20}{50}

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 50, gives us a result of 10.

Therefore:

20:550:5=410 \frac{20:5}{50:5}=\frac{4}{10}

Answer

410 \frac{4}{10} , factor of 5

Exercise #13

Simplify the following fraction:

624 \frac{6}{24}

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 24, gives us a result of 4:

6:624:6=14 \frac{6:6}{24:6}=\frac{1}{4}

Answer

14 \frac{1}{4}

Exercise #14

Simplify the following fraction:

816 \frac{8}{16}

Video Solution

Step-by-Step Solution

First look at the denominator of the fraction. Try to find a number that, when divided by 16, gives you a result of 4:

8:416:4=24 \frac{8:4}{16:4}=\frac{2}{4}

Answer

24 \frac{2}{4}

Exercise #15

Simplify the following fraction by a factor of 10:

10010= \frac{100}{10}=

Video Solution

Step-by-Step Solution

Let's simplify as follows, we'll divide both the numerator and denominator by 10:

100:1010:10=101 \frac{100:10}{10:10}=\frac{10}{1}

Answer

101 \frac{10}{1}

Topics learned in later sections

  1. Simplification and Expansion of Simple Fractions