Maths-
General
Easy

Question

Write the repeating decimal 0.6333....... as a fraction.

hintHint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 19/30


    Complete step by step solution:
    Let x = 0.6333…(i)
    Now multiply by 10 on both the sides in (i),
    We get, 10x = 6.333
    Now multiply by 100 on both the sides in (i),
    100x = 63.33
    On subtracting  from both the sides, we have
    100x - 10x = 63.33 - 6.333
    rightwards double arrow90x = 57
    rightwards double arrowx = 57 over 90
    On simplification, we get 19 over 30
    Hence 0.6333…. = 19 over 30

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