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Express the Following Decimal in the Form `P/Q`: `125.Bar3` - Mathematics

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Question

Express the following decimal in the form `p/q`: `125.bar3`

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Solution

Let `x = 125.bar3`

`rArrx=125+0.bar3`

`rArrx=125+1/3`             `(because0.bar3=1/3)`

`rArrx=(375+1)/3`

`rArrx=376/3`

Hence, `125.bar3=376/3`

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Chapter 1: Number Systems - Exercise 1.3 [Page 22]

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RD Sharma Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 2.5 | Page 22
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