Worksheet on Fraction into Percentage | Fraction to Percent Worksheet with Answers

In this worksheet, we can see about Percentages and how to convert fractions into percentages. Here, the Percent refers to per hundred. A percent can be represented as a decimal and fraction, which will be a number between zero and one. We can represent it using the percentage formula which is defined as a number that can be represented as a fraction of 100. If we want to turn a percentage into a decimal, we can just divide by 100. In the below sections, we can see how we can convert a fraction into a percentage.

To convert a fraction into a percentage, we will divide the numerator of the fraction by the denominator of the fraction, and then we will multiply the result by 100. Then we will get the result as a percent. Here, below we can see the solved examples.

1. Express the following fractions as a percentage:

(i) 7/20
(ii) 6/25
(iii) 9/13

Solution:

(i) 7/20
Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (7/20 × 100) %
= 35 %.

(ii) 6/25
Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (6/25 × 100) %
= 24 %

(iii) 9/13
Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/13 × 100) %
= 69.23 %


2. Convert 9/25 to percentage.

Solution:

9/25
To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/25 × 100) %
= 36 %


3. Convert the following statements in the percentage:

(i) 10 out of 25 people are sitting.
(ii) 45 oranges in a box of 250 are bad.

Solution:

(i) 10 out of 25 people are sitting.

To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= 10/25 people are sitting
= (10/25 × 100) % people are sitting
= 40 % people are sitting.

(ii) 45 oranges in a box of 250 are bad.

To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= 45/250 oranges are bad
= (45/250 × 100) % oranges are bad
= 18 % of oranges are bad.


4. Mike ate the 2/7th part of the pizza. How much percent did Mike eat?

Solution:

Mike ate 2/7th part of the pizza,
To find the percent how much did Mike eat, we will multiply the fraction with 100
2/7 × 100
On solving we will get approx 28%.


5. The total number of students in a class is 45 and in that 27 are boys. What will be the total percentage of boys in the class?

Solution:

The total number of students is 45
Of that 27 are boys
So the percentage of boys in the class are
27/45 × 100
On solving we will get 60%.


 

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