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प्रश्न
Express the following decimal in the form `p/q`: `0.bar54`
उत्तर
Let `x=0.bar54`
⇒ x = 0.545454...
⇒ 100x = 54.5454....
⇒ 100x = 54 + 0.5454...
⇒ 100x = 54 + x
⇒ 100x - x = 54
⇒ 99x = 54
⇒ x = 54/99 = 6/11
Hence, `0.bar54=6/11`
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