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Percentages, Decimals, and Fractions

12 Dec Posted by in Education | Comments Off
Percentages, Decimals, and Fractions
 

Percentages, Decimals, and Fractions are closely related together, but some students find it hard to relate them together.

 

The relationship between percentages and decimals is simple; you can just multiply the decimal by 100.

For example, 0.5 * 100 = 50 = 50% of 100

0.352 * 70 = 35.2% of 70

1.42 * 20 = 142% of 20

If you want to find 4.5% of 100 you need to multiply 0.045 to 100

0.045 * 100 = 4.5

 

The relationship between decimal and fraction is also very simple. The decimal is equal to the numerator divided by the denominator.

For example, ¼ = 0.25

2/5 = 0.4

3/8 = 0.375

7/10 = 0.7

 

The relationship between percentage and fraction is simple. Percentage is numerator divided by denominator multiplied by 100.

¼ = 25%

2/5 = 40%

3/8 = 37.5%

7/10 = 70%

 

Example question is 20% of x is equal to 50% of 20. What is x?

20% of x = 0.2x. and 50% of 20 = 0.5 * 20 = 10

=> 0.2x = 10

x = 50

 

or 20% of x = 1/5 * x  and 505 of 20 = ½*20 = 10

1/5 * x = 10

x = 50

 

Like this, you should be able to switch percentage into decimal or fraction easily.

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This article was written for you by Edmond one of the tutors with SchoolTutoring Academy