Question

Express 1.4191919... in the form of p/q , where p and q are integers and q is not equal to 0

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Given, the expression 1.4191919...

Let 1.4191919....=x  ⟹(i).

Multiplying (i) by 10,

⟹14.191919....=10x  ⟹(ii).

Multiplying (ii) by 1000,

⟹1419.191919....=1000x  ⟹(iii).

Then, (iii)−(ii)

⟹ 1000x−10x=1419.191919....−14.191919....

⟹ 990x=1405

⟹x=  

990

1405

=  

198/

281

Hencs

1.4191919... in  

198/281