Convert the following ratios to percentages
(a) 3:4 (b) 2:3

Solution:

The ratio is defined as the comparison between two quantities of the same units that indicates how much of one quantity is present in the other quantity. 

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

(i) Given data: 3:4

= (3/4) × 100

= 3 × 25

= 75%

(ii) Given data: 2:3

Type 1: Decimal Form

= (2/3) × 100

= 2 × 33.33

= 66.67% (Decimal form)

Type 2: Fractions Form

= (2/3) × 100

= 200/3

= \(66{\Large\frac{2}{3}}\)% (Mixed fraction form)

☛ Check: Class 8 Maths NCERT Solutions Chapter 8

Video Solution:

Convert the following ratios to percentages
(a) 3:4 (b) 2:3

NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.1 Question 2

Summary:

The percentages for the following ratio (a) 3:4 (b) 2:3 are (a) 75% (b) 66.67% or \(66{\Large\frac{2}{3}}\)%

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