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प्रश्न
Express the following as a rational number in its simplest form:
`2.bar(24)`
Express the following as a fraction in simplest form.
`2.bar(24)`
सोपे रूप द्या
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उत्तर
Let x = `2.bar(24)`
∴ x = 2.2444 ...(1)
10x = 22.444 ...(2)
100x = 224.444 ...(3)
On subtracting equation (2) from (3), we get
90x = 202
⇒ `x = 202/90`
= `101/45`
∴ `2.bar(24) = 101/45`
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