Question

Express the ratio below in its simplest form. 15 : 12 : 6

Answer 1

The ratio 15 : 12 : 6 in simplest form is 5 : 4 : 2

Given :

The ratio 15 : 12 : 6

To find :

Express the ratio in simplest form

Solution :

Step 1 of 3 :

Write down the given ratio

Here the given ratio is 15 : 12 : 6

Step 2 of 3 :

Find HCF of the terms

The three terms in the ratio are 15 , 12 and 6

15 = 3 × 5

12 = 2 × 2 × 3

6 = 2 × 3

So the HCF of the terms 15 , 12 and 6 = 3

Step 3 of 3 :

Express the ratio in simplest form

Dividing each term of the ratio by the HCF 3 we get

$\displaystyle \sf{15 : 12 : 6 }$

$\displaystyle \sf{ = \frac{15}{3} : \frac{12}{3} : \frac{6}{3} }$

$\displaystyle \sf{ = 5 : 4 : 2 }$

Hence the ratio 15 : 12 : 6 in simplest form is 5 : 4 : 2

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Ratio 40cm : 2m simplest form

https://brainly.in/question/17017106

2. Ratio of 75 cm to 1 meter 25 cm

https://brainly.in/question/44034082