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Convert 2.333... to p/q form where p and q are integers and q ≠ 0
Last updated at May 29, 2023 by Teachoo
Expressing decimal in p/q
Convert 2.333... to p/q form where p and q are integers and q ≠ 0
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Chapter 1 Class 9 Number Systems
Concept wise
- Rational numbers - Definition
- Finding rational number between two numbers
- Irrational Numbers
- Simplifying real numbers
- Rationalising
- Laws of exponents
- Finding decimal expansion
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Expressing decimal in p/q
- Classifiying rational/irrational
- Finding irrational numbers b/w two numbers
- Real numbers on a number line
Transcript
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
