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Question
Write the following rational number in `p/q` form.
`15.bar89`
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Solution
Let x = `15.bar89` ...(1)
Multiplying both sides by 100, we get
100x = `1589.bar89` ...(2)
Subtracting (1) from (2), we get
∴ 100x − x = `1589.bar89 − 15.bar89`
∴ 99x = 1574
`therefore x = 1574/99 `
So, `15.bar89 = 1574/99`
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