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प्रश्न
Express the following decimal as a rational number.
2.67
उत्तर
Let x = 2.67
Then, x = 2.676767..... ....(1)
Here, the number of digits recurring is 2, so we multiply both sides of the equation (1) by 100.
∴ 100x = 100 x 2.676767....
= 267.8989..... ....(2)
On subtracting (1) from (2), we get
99x = 265
∴ x = `(265)/(99)`
∴ 2.67 = `(265)/(99)`
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