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Visualisation of Fractions

Convert 0.1...

Question

Convert $0.125$ in to fraction.

\frac{1}{8}

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\frac{1}{9}

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\frac{1}{10}

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\frac{1}{11}

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Solution

The correct option is C $\frac{1}{8}$
$0.125 = \frac{125}{1000} = \frac{1}{8}$

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(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + . . . + 10 (11)^{9} = k (10)^{9}

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(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + \dots + 10 (11)^{9} = k (10)^{9}

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(- \frac{8}{9} \times \frac{1}{- 5}) + (- \frac{8}{9} \times - \frac{- 7}{11}) = - \frac{8}{9} \times (\frac{1}{- 5} + \frac{- 7}{11})

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