Question

express the ratio 12 : 18 in its simplest form

Answer 1

12:18 = 2:3

First 12 and 18 comes in multiples of 2 so 12 is 6 times and 18 is 9 times then the ratio would be 6:9. 6 and 9 are in 3 tables so the ratio becomes 2:3.

Answer 2

The ratio 12 : 18 in its simplest form is 2 : 3

Given :

The ratio 12 : 18

To find :

Express the ratio 12 : 18 in its simplest form

Solution :

Step 1 of 3 :

Write down the given ratio

Here the given ratio is 12 : 18

Step 2 of 3 :

Find HCF of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

HCF of 12 and 18 = 6

Step 3 of 3 :

Express the ratio 12 : 18 in its simplest form

12 : 18

$\displaystyle \sf{ = \frac{12}{18} }$

$\displaystyle \sf{ = \frac{12 \div 6}{18 \div 6} }$

$\displaystyle \sf{ = \frac{2}{3} }$

$\displaystyle \sf{ = 2 : 3}$

The ratio 12 : 18 in its simplest form is 2 : 3

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