Convert 2.333... to p/q form where p and q are integers and q ≠ 0
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Convert 2.333 = 2.3 ̅ to p/q form where p and q are integers and q ≠ 0 Let x = 2.3333….. Multiplying equation (1) with 10 10x = 10 × (2.333…) 10x = 23.333… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 23.3333… – 2.3333… 9x = 21 Since there is bar over 3 only, (one digit) x = 21/9 x = 𝟕/𝟑 Thus, 2.333… = 𝟕/𝟑
Expressing decimal in p/q
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Expressing numbers in p/q form
Example 6
Example 7 Important
Ex 1.3, 3 (i)
Ex 1.3,4 Important
Example 8
Example 9 Important
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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 and Computer Science at Teachoo