Maths-
General
Easy
Question
Convert the following repeating decimals to fractions
a) 1.233333333333333333
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 37/30
Complete step by step solution:
(a) Let x = 0.23333333…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 2.3333333
Now multiply by 100 on both the sides in (i),
100x = 23.3333333
On subtracting 10x from both the sides, we have
On simplification, we get 
Now we have a fraction for 0.2333333…. On adding it with 1, we have
as fraction
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