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Question
Write the following rational number in `p/q` form.
`0.bar37`
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Solution
Let x = `0.bar37` ...(1)
Multiplying both sides by 100, we get
100x = `37.bar37` ...(2)
Subtracting (1) from (2), we get
∴ `100x - x = 37.bar37 - 0.bar37`
∴ 99x = 37
`therefore x = 37/99`
So, `0.bar37 = 37/99`
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