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प्रश्न
Express the following decimal expression into rational number
`3.1bar(7)`
उत्तर
Let x = 3.1777……. ...(1)
(Here the repeating decimal digit is 7, which is the second digit after the decimal point, multiply equation (1) by 10)
10x = 31.7777…….. ...(2)
(Now period of decimal is 1, multiply equation (2) by 10)
100x = 317.7777…….. ...(3)
(3) – (2)
100x – 10x = 317.777…. – 31.777….
90x = 286
x = `286/90`
= `143/45`
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