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प्रश्न
Express the following decimal as a rational number.
0.763
उत्तर
Let x = 0.763
Then, x = 0.763763..... .....(1)
Here, the number of digits recurring is 3, so we multiply both sides of the equation (1) by 1000.
∴1000x = 1000 x 0.763763....
= 763.763..... ....(2)
On subtracting (1) from (2), we get
999x = 763
∴ x = `(763)/(999)`
∴ 0.763 = `(763)/(999)`
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