Maths-
General
Easy

Question

Write 0. 212121.............. as a fraction

hintHint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 7/33


    Complete step by step solution:
    Let x = 0.212121
    Now multiply by 100 on both the sides,
    We get, 100x = 21.2121
    On subtracting x from both the sides, we have

    100x - x = 21.2121 - 0.212121
    rightwards double arrow 99 x space equals space 21
rightwards double arrow x space equals space 21 over 99
    On simplification, we get 7 over 33
    Hence 212121…. = 7 over 33

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