Convert fraction to percentage (dave hook)

A part of a whole are called fraction. In mathematics, simple fractions can be consisting of minimum two numbers. The numerator specified as top number. The denominator specified as bottom number. Show the fraction form given as below,

Numerator / Denominator

A mathematical expression relating numbers or two quantities, one divided by the other called as fraction. Solve a simple fraction is nothing but it is simplify the fraction using arithmetic operation like addition, subtraction, multiplying, and dividing. Here we are going to see about how to solve a simple fraction

In this page we are going to discuss about Convert fraction to percentage concept.Before that see the introduction to Convert fraction to percentage.

Percent: percent is defined as one of the part of hundred.

Marry scored 88 % of marks in annual exam.

Fraction: A part of a whole thing is called as fraction. It is like, if a cake divided into four parts then those parts are called fraction in math ( [1/4] ).

Changing of fraction to percentage is done by dividing the given number and a decimal value is obtained as a result. Then multiply the result with 100 then the solution is changed from fraction to percentage.

How to convert fractions to percentages

Below are the steps for converting fractions to percentages:

We have to convert the denominator part of the fraction to 100.
We multiply by 100 both the numerator and denominator and simplify.

Example : How to Convert the fraction 12 to percentage

Solution: We simply multiply both the numerator and denominator by 100 and do the cacellations.

12?100100=1?1002?100=50100=50 %The denominator is 2 . 100 divided by 2 is 50.

Solved Examples

Let us solve some example problem to learn how to convert fractions to percentage:

Ex 1: How to Convert fraction 18 to percentage.

Sol : We multiply 100 with both the numerator and denominator. 100 divided by 8 is 12.5

18=18?100100=1008?1100=12.5100=12.5%

Ex 2: How to Convert the fraction '1/25' to percentage.

Sol: We multiply both numerator and denominator by 100. 100 divided by 25 is 4.

'1/25 = 1/25 xx 100/100 = 100/(25xx100) = 4/00 =4%'

Ex 3:How to Convert 33 ? to percentage.

Sol : First we convert the mixed fractions to improper fractions and then to percentage

'33 (1/4) = ( (33 xx 4 ) +1)/4' '=( 132+1)/4 = 133/4'

Now we convert 133/4 to percentage

'133/4 xx 100/100 = 133 xx 100/4 xx 1/100 = 133 xx 25 %' = 3325%

Ex : 4 A class has 40 students .Out of that 25 are boys and remaining are girls. Find what fraction of the class is boys.Also give the answer in percentage of boys and girls in the class.

Sol : Total number of students in the class is 40

Number of boys is 25

Fraction of boys is '25/40 = 5/8'

Fraction of girls is '15/40 = 3/8'

Percentage of boys is '5/8 xx 100/100 = 5 xx 12.5 %' =62.5%

Percentage of girls is '3/8 xx 100/100 = 3 xx 100/8 xx 1/100 = 3xx12.5%' =37.5%

Ex 5: A basket has fruits . one third is apples , two thirds is oranges.Find the percentage of each fruit.

Sol : Apples is one third = '1/3'

Oranges is two third = '2/3'

Percentage of apples = '1/3 xx 100/100 = 100/3 xx 1/100 = 33.33%'

Percentage of oranges = '2/3 xx 100/100 = 2 xx 100/3 xx 1/100 = 2 xx33.33%' =66.66 %

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