Converting Fraction to Percentage

Converting Fraction to Percentage

All numbers which are represented using numerator and denominator are fractions. They can have any number as a denominator. If the denominator of the fraction is hundred then it can be very easily expressed as a percentage. Let us try to convert different fraction to percentage.

Example 2.1

Write 1/5 as per cent.

Solution

We have 1/5 = 1/5 × 100/100 = 1/5 ×100% = 100/5 % = 20% .

Example 2.2

 Convert 7/4 to per cent.

Solution

We have 7/4 = 7/4 × 100/100 = 7/4 ×100% = 700/4 % = 175% .

Example 2.3

Out of 20 beads, 5 beads are red. What is the percentage of red.

Solution

We have =5/20×5/20×100/100 =5/20 ×100% =500/20 % = 25%.

Example 2.4

Convert the fraction 23/30 as per cent.

Solution

We have 23/30 = 23/30 × 100/100 = 23/30 ×100% = 76 2/3 %

From these examples we see that the percentage of proper fractions are less than 100 and that of improper fractions are more than 100.

Try these

Convert the fractions as percentage.

(i) 1/20  (ii) 13/25   (iii) 45/50   iv 18/5   (v) 27/10  (vi) 72/90

Solution: 

(i) 1/20 = 1/20 × 100/100 = 1/20 × 100% = 5 %

(i) 1/20 = 1/20 × 100/100 = 1 / 20 × 100% = 5 %

(ii) 13/25 = 13/25 × 100/100 = 13 / 25 × 100% = 52 %

(iii) 45/20 = 45/50 × 100/100 = 45 / 50 × 100% = 90 %

(iv) 18/5 = 18/5 × 100/100 = 18 / 5 × 100% = 360 %

(v) 27/10 = 27/10 × 100/100 = 27 / 10 × 100% = 270 %

(vi) 72/90 = 72/90 × 100/100 = 72 / 90 × 100% = 80 %