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Ex 1.3,3 - Chapter 1 Class 9 Number Systems - Part 3

Ex 1.3,3 - Chapter 1 Class 9 Number Systems - Part 4

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Ex1.3, 3 Express the following in the form 𝑝/𝑞 where p and q are integers and q ≠ 0. (ii) 0.47 ̅ Let x = 0.47 ̅ = 0.47777… Multiplying equation (1) with 10 10x = 10 × (0.47777 …) 10x = 4.7777… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 4.7777… – 0.47777… 9x = 4.3000 x = 4.3/9 x = 43/90 Thus, 0.47 ̅ = 43/90

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