Solved Examples on Fraction to Percent Conversion
Example 1: John passed 6 subjects out of 8 subjects. Calculate his pass percentage using the fraction to percent formula.
Solution:
Given data:
Number of subjects passed = 6
Total number of subjects = 8
So, the ratio of the number of subjects John passed out of the total number of subjects is 6 out of 8, i.e., 6/8.
The pass percentage of John = 6/8 × 100%
= 75%
So, the pass percentage of John is 75%.
Example 2: Convert the following fractions to percentages by first converting them into decimal form.
- 3/4
- 6/7
- 2/5
Solution:
a) To convert 3/4 into a decimal, divide the numerator by the denominator.
3 ÷ 4 = 0.75
Now, multiply the decimal by 100 to convert it to percent.
0.75 × 100 % = 75%
So, 3/4 = 75%
b) To convert 6/7 into a decimal, divide the numerator by the denominator.
6 ÷ 7 ≈ 0.85714
Now, multiply the decimal by 100 to convert it to percent.
0.85714 × 100 % = 85.714%
So, 6/7 = 85.714%
c) To convert 2/5 into a decimal, divide the numerator by the denominator.
2 ÷ 5 = 0.4
Now, multiply the decimal by 100 to convert it to percent.
0.4 × 100 % = 40%
So, 2/5 = 40%
Example 3: Convert 5½ into percent.
Solution:
First, convert the mixed fraction into an improper fraction.
5½ = 11/2
Now, convert 7/4 into a decimal, and divide the numerator by the denominator.
11 = 11 ÷ 2 = 5.5
Now, multiply the decimal by 100 to convert it to percent.
5.5 × 100 % = 550%
So, 11/2 = 550%
Example 4: Convert 9/13 to percent using proportions.
Solution:
First, we have to write the given fraction in proportion format.
9/13 = x/100
Now, let us solve the above proportion using the cross-multiplication method.
x = (9/13) × 100
Simplify it further to obtain the required percentage.
x = 69.231%
Fraction to Percent Conversion
In daily life, we quite often compare two quantities. Fractions and percents are two different ways of expressing a number and are generally used for comparing quantities. The fractions can be converted to percentages and vice versa. Let us consider that Rosy passed 5 out of 6 subjects while John passed 6 out of 8 subjects. So, can you determine who has the better pass percentage? For that, we need to calculate their pass percentage first. So, we need to convert the given fractions to percentages. We have two different methods for converting a fraction into a percent.
But before learning about the conversion of fractions to percent, let us learn the definitions of fractions and percentages.