Question

1.2:3.6:6 convert in simplease ratio form​

Answer 1

SOLUTION

TO EXPRESS

In the simplest ratio form

$\sf{ 1.2 \: : \: 3.6 \: : \:6 }$

EVALUATION

STEP : 1

$\sf{ 1.2 \: : \: 3.6 \: : \:6 }$

$\displaystyle = \sf{ \frac{12}{10} \: : \: \frac{36}{10} \: : \:6 }$

STEP : 2

Here the LCM of the denominators = 10

STEP : 3

Multiplying each ratio by 10 we get

$\sf{ 1.2 \: : \: 3.6 \: : \:6 }$

$\displaystyle = \sf{ \bigg( \frac{12}{10} \times 10 \bigg) : \bigg( \frac{36}{10} \times 10 \bigg) : (6 \times 10)}$

$= \sf{ 12 \: : \: 36 \: : \:60 }$

STEP : 4

Here 12 is the common factor of the three terms

STEP : 5

Dividing each of terms by 12

$\sf{ 1.2 \: : \: 3.6 \: : \:6 }$

$\displaystyle = \sf{ \bigg( \frac{12}{10} \times 10 \bigg) : \bigg( \frac{36}{10} \times 10 \bigg) : (6 \times 10)}$

$= \sf{ 1 \: : \: 3\: : \:5}$

Which is of the required simplest form

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LEARN MORE FROM BRAINLY

Out of the following which are proper fractional numbers?

(i)3/2

(ii)2/5

(iii)1/7

(iv)8/3

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