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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Example 9 Show that 0.2353535…… = 0.2(35) ̅ can be expressed in the form 𝑝/𝑞 , where p and q are integers and q ≠ 0. Let x = 0.2(35) ̅ = 0.2353535… Multiplying equation (1) with 100 100x = 100 × (0.2353535…) 100x = 23.53535… Subtracting (2) from (1) i.e. (2) – (1) 100x – x = 23.53535… – 0.2353535… 99x = 23.3000 x = 23.3/99 x = 233/990 Thus, 0.2(35) ̅ = 233/990

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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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.