To Convert a Fraction into a Percentage

To convert a fraction into a percentage; we need to multiply the fraction by 100 and add the percent symbol after the product..

Let us consider how to change a fraction to a percent

(i) 42/100

= 42%


(ii) 73/100

= 73%


(iii) 6/100

= 6%


(iv) 15/100

= 15%


(v) 39/100

= 39%


(vi) 11/100

= 11%

Convert a Fraction into a Percentage Video

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EXPRESSING A FRACTION AS PER CENT

To express a fraction as a per cent, we change the fraction into the equivalent fraction with denominator as 100. Then we express the fraction as a per cent by using the symbol %.

Let us consider some examples.

1. Express 35 as a per cent.

Solution:

35

= 3×205×20

(We multiply the numerator and the denominator both by 20 to make the denominator 100.)

= 60100

= 60 × 1100

= 60%


2. Express 214 as per cent

Solution:

214

= 94

= 9×254×25

(We multiply the numerator and the denominator both by 25 to make the denominator 100.)

= 225100

= 225 × 1100

= 225%


We multiply the numerator and the denominator both by 25.

We can also express a fraction as a per cent simply by multiplying it by 100 and writing % to the right of it.



For example:

(i) Express 3/4 as a percent.

Solution:

¾ × 100

= (3 × 100)/4

= 300/4

= 300/4 ÷ 4/4

[Divide the numerator and denominator by 4]

= 75%.

Answer: 75%



(ii) Express 12/5 as a percent.

Solution:

12/5 × 100

= (12 × 100)/5

= 1200/5

= 1200/5 ÷ 5/5

[Divide the numerator and denominator by 5]

= 240%.

Answer: 240%


(iii) Express 13/6 as a percent.

Solution:

13/6 × 100

= (13 × 100)/6

= 1300/6

= 1300/6 ÷ 2/2

[Divide the numerator and denominator by 2]

= 650/3

= 216 2/3%

Answer: 216 2/3%



(iv) Express 19/4 as a percent.

Solution:

19/4 × 100

= (19 × 100)/4 = 1900/4

= 1900/4 ÷ 4/4

[Divide the numerator and denominator by 4]

= 475%.

Answer: 475%



(v) Express 27/2 as a percent.

Solution:

27/2 × 100

= (27 × 100)/2

= 2700/2

= 2700/2 ÷ 2/2

[Divide the numerator and denominator by 2]

= 1350%.

Answer: 1350%


(vi) Express 925 as a percent.

Solution:

925

925 × 100%

= \(\frac{9 × 100}{25}\)%

     = 90025%

     = 36%


(vii) Express 14 as a percent.

Solution:

14

= 14 × 100%

= 1×1004%

= 1004%

= 25%


(viiI) Express 234 as a percent.

Solution:

234

= 114 × 100%

= 11×1004%

= 11004%

= 275%


Note: You may think that expressions 235% 275%, 105% etc have no meaning because no one can get more than 100 marks out of 100. It is true but one can earn $ 235, $ 275 or $ 105 per $ 100. If you purchase a watch for $ 100 and sell it for $ 235, you earn 135% profit.


Converting Fractions to Percents Short Video

Converting Fractions to Percent

Worksheet on To Convert a Fraction into a Percentage

Questions and Answers on Converting Fractions to Percent:

I. Convert the following fractions to percentage.

(i) 110

(ii) 35

(iii) 725

(iv) 2950

(v) 34

(vi) 4550


Answers:

I. (i) 10%

(ii) 60%

(iii) 28%

(iv) 58%

(v) 75%

(vi) 90%



You might like these

● Percentage

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known




5th Grade Numbers Page

5th Grade Math Problems

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