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%.