Learn All Concepts of Chapter 1 Class 9 - FREE. Check - Chapter 1 Class 9 Maths

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  1. Chapter 1 Class 9 Number Systems
  2. Concept wise

Transcript

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
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.