Maths-
General
Easy
Question
A survey reported that 63.636363...% of moviegoers prefer action films. This percent represents a repeating decimal. Write it as a fraction.
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 7/11
Complete step by step solution:
Let decimal = 63.636363
Now divide by 100, to remove %,
We get, 0.63636363
Now let Let x = 0.63636363
Now multiply by 100 on both the sides,
We get, 100x = 63.6363
On subtracting x from both the sides, we have
100x - x = 63.6363- 0.636363
On simplification, we get 
Hence 636363…. =
On simplification, we get
Hence 636363…. =
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