The worksheet contains converting a Percentage into a fraction, word problems on Percentage into Fraction. These percentages and fractions can be seen in our daily life. In schools and colleges, students can see their marks in percentage. The Percent refers to per hundred and a percent can be represented as a decimal and fraction based on the need.
To convert Percentage into Fraction, we will divide the given number by 100, then we will get a decimal number. Then, if the number is not a whole number. We will multiply both numerator and denominator with 10 for every number after the decimal point. Then we will get the fraction. Practice the Percentage to Fraction Worksheet with Answers and test your preparation level. You can check out Percentage Worksheets for more information regarding the same.
1. Convert each of the following percentages into a fraction in the least terms?
(i) 20 %
(ii) 36 %
(iii) 6 %
Solution:
(i) 20 %
Here we will divide the given percent by 100, then we will get the result.
= 20/100
= 1/5.
(ii) 36 %
Here we will divide the given percent by 100, then we will get the result.
= 36/100
= 9/25.
(iii) 6 %
Here we will divide the given percent by 100, then we will get the result.
= 6/100
= 3/50.
2. Convert 35 percent to fraction.
Solution:
To convert percent to a fraction, we will divide the given percent by 100, then we will get the result.
35 %
= 35/100
= 7/20
3. Express each of the following percentages as fractions in the least terms:
(i) 32 %
(ii) 46 %
(iii) 40 %
Solution:
(i) 32 %
Here we will divide the given percent by 100, then we will get the result.
= 32/100
= 8/25.
(ii) 46 %
Here we will divide the given percent by 100, then we will get the result.
= 46/100
= 23/50.
(iii) 40 %
Here we will divide the given percent by 100, then we will get the result.
= 40/100
= 2/5.
4. Convert each of the decimal percentages as fractions in the least terms:
(i) 2.5 %
(ii) 0.2 %
(iii) 42.5%
Solution:
(i) 2.5 %
Here we will remove the decimal point by diving the decimal with 10 and then we will divide the given percent by 100, then we will get the result.
= 25/10 %
= 25/10 × 1/100
= 5/200
= 1/40.
(ii) 0.2 %
Here we will remove the decimal point by diving the decimal with 10 and then we will divide the given percent by 100, then we will get the result.
= 2/10 %
= 1/5 × 1/100
= 1/500.
(iii) 42.5%
Here we will remove the decimal point by diving the decimal with 10 and then we will divide the given percent by 100, then we will get the result.
= 425/10 %
= 425/10 × 1/100
= 17/40.