Convert 2.333... to p/q form where p and q are integers and q ≠ 0

Last updated at August 14, 2026 by

Convert 2.333... to p/q form - Decimal Expansion - Teachoo

Convert 2.333... to p/q form where p and q are integers and q ≠ 0 - Part 2

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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

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