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