Maths-
General
Easy
Question
Write the repeating decimal 4.13636363.... as a fraction
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 91/22
Complete step by step solution:
Let x = 0.13636…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 1.363636
Now multiply by 100 on both the sides in (i),
100x = 13.63636
Now multiply by 1000 on both the sides in (i),
1000x = 136.3636
On subtracting from both the sides, we have
1000x - 10x = 136.3636- 1.363636
On simplification, we get x = 
Now we have a fraction for 0.1363636…. On adding it with 4, we have
as fraction
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