Express 21.376 in the form of a fraction.
Explanation:
Let x = 21.376
Muliplyting both sides with 101 (There is one non recurring digit after decimal)
⇒ 10x = 213.76 ...(1)
Muliplyting both sides with 102 (There are two recurring digits after decimal)
⇒ 1000x = 21376.76 ...(2)
(2) - (1)
⇒ 1000x -10x = 21376.76 - 213.76 = 21376 - 213 = 21163
∴ x = 21163990
Alternately, Numerator of the fraction = 21376 - 213 = 21163
Denominator = 990
Hence, option (a).
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