All numbers which are represented using numerator and denominator are fractions.

__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 %

Tags : Term 3 Chapter 2 | 7th Maths , 7th Maths : Term 3 Unit 2 : Percentage and Simple Interest

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7th Maths : Term 3 Unit 2 : Percentage and Simple Interest : Converting Fraction to Percentage | Term 3 Chapter 2 | 7th Maths

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