Question

express the following in the simplest form 144:12​

Answer 1

Answer:

look

Step-by-step explanation:

144:12

Means 144/12

=12/1

when we cancel 144 it gives ud 12 because the square of 12 is 144 .

Hence , simplest fo of 144:12 is 12:1

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Answer 2

The simplest form of 144 : 12 is 12 : 1

Given :

The ratio 144 : 12

To find :

The simplest form of 144 : 12

Solution :

Step 1 of 3 :

Write down the given ratio

Here the given ratio is 144 : 12

Step 2 of 3 :

Find HCF of 144 and 12

On prime factorisation of 144 and 12 we get

144 = 2 × 2 × 2 × 2 × 3 × 3

12 = 2 × 2 × 3

HCF of 144 and 12

= 2 × 2 × 3

= 12

Step 3 of 3 :

Find simplest form of 144 : 12

$\displaystyle \sf{ 144 : 12 }$

$\displaystyle \sf{ = \frac{144}{12} }$

$\displaystyle \sf{ = \frac{144 \div 12}{12 \div 12} }$

$\displaystyle \sf{ = \frac{12}{1} }$

$\displaystyle \sf{ = 12 : 1}$

Hence simplest form of 144 : 12 is 12 : 1