Reduce and Expand Simple Fractions: Reduce

Examples with solutions for Reduce and Expand Simple Fractions: Reduce

Exercise #1

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 #2

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 #3

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 #4

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 #5

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 #6

Simplify the fraction below and specify the highest common factor:

2050= \frac{20}{50}=

Video Solution

Step-by-Step Solution

First look at the denominator of the fraction. We must try to find a number that, when divided by 50, gives us a result of 25.

Therefore:

20:250:2=1025 \frac{20:2}{50:2}=\frac{10}{25}

Answer

1025 \frac{10}{25} , 2

Exercise #7

Simplify the fraction below and specify the simplification factor:

2040= \frac{20}{40}=

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 40, gives us a result of 10.

Therefore:

20:440:4=510 \frac{20:4}{40:4}=\frac{5}{10}

Answer

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

Exercise #8

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 #9

Simplify the fraction below and specify the highest common 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 5:

20:1050:10=25 \frac{20:10}{50:10}=\frac{2}{5}

Answer

25 \frac{2}{5} , 10

Exercise #10

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 #11

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 #12

Simplify the fraction below and specify the highest common factor:

1836= ? \frac{18}{36}=\text{ ?}

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 12.

Therefore:

18:336:3=612 \frac{18:3}{36:3}=\frac{6}{12}

Answer

612 \frac{6}{12} , 3

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 and specify the highest common 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 9.

Therefore:

16:436:4=49 \frac{16:4}{36:4}=\frac{4}{9}

Answer


49 \frac{4}{9} , 4

Exercise #15

Simplify the given fraction to its simplest form:

510= \frac{5}{10}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 5, therefore:

5:510:5=12 \frac{5:5}{10:5}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #16

Simplify the fraction below and specify the highest common factor:

1836 \frac{18}{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 6:

18:636:6=36 \frac{18:6}{36:6}=\frac{3}{6}

Answer

36 \frac{3}{6} , 6

Exercise #17

Reduce the given fraction into its simplest form:

115= \frac{1}{15}=

Video Solution

Step-by-Step Solution

Let's find the highest number that divides both the numerator and the denominator.

In this case, that number is 1, so:

1:115:1=115 \frac{1:1}{15:1}=\frac{1}{15}

Therefore, it cannot be simplified further

Answer

It is not possible to simplify

Exercise #18

Simplify the given fraction to its simplest form:

714= \frac{7}{14}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 7, therefore:

7:714:7=12 \frac{7:7}{14:7}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #19

Simplify the given fraction to its simplest form:

615= \frac{6}{15}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by. In this case, the number is 3, therefore:

6:315:3=25 \frac{6:3}{15:3}=\frac{2}{5}

Answer

25 \frac{2}{5}

Exercise #20

Simplify the given fraction into its simplest form:

812= \frac{8}{12}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 4, therefore:

8:412:4=23 \frac{8:4}{12:4}=\frac{2}{3}

Answer

23 \frac{2}{3}