Example 7 - Show that 0.3333...... = 0.3 can be ... - Examples

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Example 7 Show that 0.3333…… = 0.3 ̅ can be expressed in the form 𝑝/𝑞 , where p and q are integers and q ≠ 0. Let x = 0.3333….. Multiplying equation (1) with 10 10x = 10 × (0.333…) 10x = 3.333… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 3.3333… – 0.3333… 9x = 3 x = 3/9 x = 1/3 Thus, 0.3333 = 1/3

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.