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is equivalent to the fraction:
Question

is equivalent to the fraction:

A.


B.


C.


D.

Correct option is D

Given:
Repeating decimal: = 0.532ˉ 0.5\bar{32}

Concept Used:
A repeating decimal can be expressed as a fraction by using algebraic methods.
Solution:
Let x = 0.5323232...

10x = 5.323232
1000x = 532.323232...
By subtracting the two equations, we eliminate the repeating decimal part.
1000x -10x = 532-5
x = 527 / 990

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