Maths-
General
Easy
Question
Convert 17.17090090090.............. as a fraction.
Hint:
First find the decimal part as a fraction and then add it with the whole number
part.
The correct answer is: 190597/11100
Complete step by step solution:
Let x = 0.17090090…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 1.7090090
Now multiply by 100 on both the sides in (i),
100x = 17.090090
Now multiply by 1000 on both the sides in (i),
1000x = 170.90090
Now multiply by 10000 on both the sides in (i),
10000x = 1709.0090
Now multiply by 100000 on both the sides in (i),
100000x = 17090.090
On subtracting 100x from both the sides, we have
100000x - 100x = 17090.090 - 17.090090
99900x = 17073
On simplification, we get x = 
Now we have a fraction for 0.17090090…. On adding it with 17, we have
as fraction
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