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Question
Express the following decimal as a rational number.
0.7
Solution
Let x = 0.7
Then, x = 0.7777..... ....(1)
Here, the number of digits recurring is only 1, so we multiply both sides of the equation (1) by 10.
∴ 10x = 10 x 0.7777....
=7.777..... ....(2)
On subtracting (1) from (2), we get
9x = 7
∴ x = `(7)/(9)`
∴ 0.7 = `(7)/(9)`
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