Maths-
General
Easy

Question

Write 0.87878787......... as a fraction

Hint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 29/33


    Complete step by step solution:
    Let x = 0.87878787
    Now multiply by 100 on both the sides,
    We get, 100x = 87.878787
    On subtracting x from both the sides, we have
    100x - x = 87.878787 - 0.87878787
    rightwards double arrow 99 x space equals space 87
rightwards double arrow x space equals space 87 over 99
    On simplification, we get 29 over 33
    Hence 87878787…. = 29 over 33

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