What is (0.00123)/(1-1/1000) ?

The solution to (0.00123)/(1-1/1000) is 41/33300

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simplify (0.00123)/(1-1/1000)

simplify

\frac{0.00123}{1 - \frac{1}{1000}}

\frac{41}{33300}

Decimal Notation

0.00123 \dots

Solution steps

\frac{0.00123}{1 - \frac{1}{1000}}

\frac{0.00123}{1 - \frac{1}{1000}} = \frac{123}{100000 ( 1 - \frac{1}{1000} )}

= \frac{123}{100000 ( 1 - \frac{1}{1000} )}

Simplify

100000 (1 - \frac{1}{1000}) : 99900

= \frac{123}{99900}

Factor the number:

123 = 3 \cdot 41

= \frac{3 \cdot 41}{99900}

Factor the number:

99900 = 3 \cdot 33300

= \frac{3 \cdot 41}{3 \cdot 33300}

Cancel the common factor:

3

= \frac{41}{33300}

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