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Question
Express the following decimal as a rational number.
0.35
Solution
Let x = 0.35
Then, x = 0.353535..... ....(1)
Here, the number of digits recurring is 2, so we multiply both sides of the equation (1) by 100.
∴ 100x = 100 x 0.353535....
= 35.3535..... ....(2)
On subtracting (1) from (2), we get
95x = 35
∴ x = `(35)/(99)`
∴ 0.35 = `(35)/(99)`
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