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प्रश्न
Express the following as a fraction.
`0.bar(285)`
योग
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उत्तर
To express `0.bar(285)` as a fraction:
Step-by-step:
Let `x = 0.bar(285)`
Since 3 digits repeat, multiply both sides by 1000:
`1000x = 285.bar(285)`
Subtract the original:
`1000x - x = 285.bar(285) - 0.bar(285)`
`999x = 285`
`x = 285/999`
Now simplify:
Divide numerator and denominator by 3:
`285/999 = 95/333`
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