Maths-
General
Easy
Question
Write 2.318181...... as fraction
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 51/22
Complete step by step solution:
Let x = 0.318181…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 3.18181
Now multiply by 100 on both the sides in (i),
100x = 31.8181
Now multiply by 1000 on both the sides in (i),
1000x = 318.181
On subtracting 10x from both the sides, we have
1000x - 10x = 318.181 - 3.18181
On simplification, we get x = 
Now we have a fraction for 0.318181…. On adding it with 2, we have
as fraction
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