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Maths-

General

Easy

Question

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

hint 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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