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प्रश्न
Express the rational number `1/33` in recurring decimal form by using the recurring decimal expansion of `1/11`. Hence write `71/33` in recurring decimal form.
उत्तर
`11")"overline100("0.0909`
99
100
99
`1/11` = 0.0909 ……..
= `0.bar(09)`
∴ `1/33 = 1/3 xx 1/11`
= `1/3 xx 0.0909` ……..
= 0.0303 ……
= `0.bar(03)`
`71/33 = 2 5/33`
= `2 + 5/33`
= `2 + 5 xx 1/33`
= `2 + 5 xx 0.bar(03)`
2 + (5 × 0.030303 ……..)
2 + 0.151515 ………
`2 + 0.bar(15)`
`2. bar(15)`
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