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Convert 0.123333 .. to p/q form where p and q are integers and q ≠ 0

Convert 0.123333 .. to p/q form where p and q are integers and q ≠ 0 - Part 2

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Convert 0.123 ̅ to p/q form where p and q are integers and q ≠ 0 Let x = 0.12333….. Multiplying equation (1) with 10 10x = 10 × (0.12333…) 10x = 1.23333… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 1.23333… – 0.123333… 9x = 1.11 Since there is bar over 3 only, (one digit) 1.23333… 0.12333… 9x = 111/100 x = 𝟏𝟏𝟏/𝟗𝟎𝟎 Thus, 0.123 ̅ = 𝟏𝟏𝟏/𝟗𝟎𝟎 0.123 ̅ = 𝟏𝟏𝟏/𝟗𝟎𝟎

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.