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Express the 0.12 and bar on …

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Express the 0.12 and bar on 2 as a fraction in simplest form

Posted by Ashish Kumar 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 7 months ago

Let we have ,

{tex}x= 0.1 \overline { 2 }{/tex}, then
{tex}x{/tex} = 0.12222....
{tex}\implies{/tex}10x = 1.2222.... ...(i)
{tex}\implies{/tex}100x= 12.2222... ...(ii)
Subtracting (i) from (ii), we get

{tex}\implies{/tex}100x-10x=11
{tex}\implies90 x = 11 \quad \therefore x = \frac { 11 } { 90 }{/tex}

Thus the value of x ={tex}0.1\overline {2}{/tex} is equal to {tex}\frac {11}{90}{/tex}

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CBSE > Class 10 > Mathematics