Question

30 litres,24 litres find the ratio of the first quantity to the second​

Answer 1

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Answer 2

The ratio of 30 litres and 24 litres is 5 : 4

Given :

The quantities 30 litres and 24 litres

To find :

The ratio

Concept :

Ratio : Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b ≠ 0) is a fraction a/b and it is written a : b , the first term a is called antecedent and the second term is called consequent

Solution :

Step 1 of 3 :

Write down the given quantities

The quantities are 30 litres and 24 litres

Step 2 of 3 :

Find HCF of 30 and 24

30 = 2 × 3 × 5

24 = 2 × 2 × 2 × 3

HCF of 30 and 24

= 2 × 3

= 6

Step 3 of 3 :

Find the ratio

Hence the required ratio

= 30 : 24

$\displaystyle \sf{ = \frac{30}{24} }$

$\displaystyle \sf{ = \frac{30 \div 6}{24 \div 6} }$

$\displaystyle \sf{ = \frac{5}{4} }$

$\displaystyle \sf{ = 5 :4 }$

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