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Question
Write the following rational number in `bb(p/q)` form.
`2.bar514`
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Solution
Let x = `2.bar514` ...(1)
Multiplying both sides by 1000, we get
1000x = `2514.bar514` ...(2)
Subtracting (1) from (2), we get
∴ 1000x – x = `2514.bar514-2.bar514`
∴ 999x = 2512
`therefore x = 2512/999`
So, `2.bar514=2512/999`
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