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

    rightwards double arrow 99 x space equals space 63
    rightwards double arrow x space equals space 63 over 99
    On simplification, we get 7 over 11
    Hence 636363…. = 7 over 11

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