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To convert $x = 0. \overline{73}$ into a fraction, $x$ should be multiplied by which number before subtracting?

Class 9Decimal Expansions of Real NumbersNumber Systems

A100
B73
C10
D1000

Step-by-Step Solution

The repeating block has 2 digits, so multiply by

1 0^{2} = 100 : 100 x = 73.7373

…. Then

100 x - x = 73

removes the repeating tail.

Answer: A) 100

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