Expressing decimal in p/q
Convert 0.123333 .. to p/q form where p and q are integers and q ≠ 0
Convert 0.575757.. to p/q form where p and q are integers and q ≠ 0
Convert 2.4(178).. to p/q form where p and q are integers and q ≠ 0
Expressing numbers in p/q form
Example 6
Example 7 Important
Ex 1.3, 3 (i) You are here
Ex 1.3,4 Important
Example 8
Example 9 Important
Expressing decimal in p/q
Last updated at April 16, 2024 by Teachoo
Ex 1.3, 3 Express the following in the form 𝑝/𝑞 where p and q are integers and q ≠ 0. 0.6 ̅ Let x = 0.6 ̅ = 0.6666….. Multiplying equation (1) with 10 10x = 10 × (0.666…) 10x = 6.666… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 6.6666… – 0. 6666… 9x = 6 x = 6/9 x = 2/3 Thus, 0.6 ̅ = 𝟐/𝟑