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Convert 0.575757..  to p/q form where p and q are integers and q ≠ 0

Convert 0.575757..  to p/q form where p and q are integers and q ≠ 0 - Part 2

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Convert 0.(57) ̅ to p/q form where p and q are integers and q ≠ 0 Let x = 0.57575757….. Multiplying equation (1) with 100 100x = 100 × (0.57575757…) 100x = 57.575757… Subtracting (2) from (1) i.e. (2) – (1) 100x – x = 57.575757… – 0.575757… 99x = 57 Since there is bar over 5 and 7, (two digits) x = 𝟓𝟕/𝟗𝟗 Thus, 0.(57) ̅ = 𝟓𝟕/𝟗𝟗

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.