Maths-
General
Easy

Question

Convert 0.8363636.......as a fraction

hintHint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 46/55


    Complete step by step solution:
    Let x = 0.836363…(i)
    Now multiply by 10 on both the sides in (i),
    We get, 10x = 8.3636363
    Now multiply by 100 on both the sides in (i),
    100x = 83.636363
    Now multiply by 10000 on both the sides in (i),
    10000x = 8363.6363
    On subtracting  from both the sides, we have
    10000x - 100x = 8363.6363 - 83.636363
    rightwards double arrow 9900 x space equals space 8280
rightwards double arrow x space equals space 8280 over 9900
    On simplification, we get x = 46 over 55
    Hence 0.8363636..... = 46 over 55

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