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Question
Write the following rational number in `bb(p/q)` form.
2.514
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Solution
Let x = 2.514 ...(1)
Multiplying both sides by 1000, we get
1000x = 2514.514 ...(2)
Subtracting (1) from (2), we get
∴ 1000x - x = 2514.514 - 2.514
∴ 999x = 2512
`therefore x = 2512/999`
So, 2.514 = `2512/999`
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