Question

Express the following in the simplest form.

i) 24 : 9 

ii) 144 : 12 

iii) 961 : 31 

iv) 1575 : 1190

Answer 1

i) 24 : 9 

Given ratio is 24 : 9 

To write the given ratio in the simplest form. 

First find the HCF of two terms.

HCF of 24 and 9 is 3. 

Then, divide each term by their HCF. 

Simplest form of the ratio = 24 ÷ 3 : 9 ÷ 3 

Required ratio = 8 : 3

ii) 144 : 12 

Given ratio is 144 : 12 

To write the given ratio in the simplest form. 

First find the HCF of two terms.

HCF of 144 and 12 is 12. 

Then, divide each term by their HCF. 

Simplest form of the ratio = 144 ÷ 12 : 12 ÷ 12 

Required ratio = 12 : 1

iii) 961 : 31 

Given ratio is 961 : 31 

To write the given ratio in the simplest form. 

First find the HCF of two terms.

HCF of 961 and 31 is 31. 

Then, divide each term by their HCF. 

Simplest form of the ratio = 961 ÷ 31 : 31 ÷ 31 

Required ratio = 31 : 1

iv) 1575 : 1190 

Given ratio is 1575 : 1190 

To write the given ratio in the simplest form. 

First find the HCF of two terms.

HCF of 1575 and 1190 is 35.

Then, divide each term by their HCF. 

Simplest form of the ratio = 1575 ÷ 35 : 1190 ÷ 35 

∴ Required ratio = 45 : 34