Convert 2.4(178)..  to p/q form where p and q are integers and q ≠ 0

Last updated at Dec. 16, 2024 by

Convert 2.4(178)..  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 - Part 2

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Convert 2.4(178) ̅ to p/q form where p and q are integers and q ≠ 0 Let x = 2.4178178178….. Multiplying equation (1) with 1000 1000x = 1000 × (2.4178178178…) 1000x = 2417.8178178… Subtracting (2) from (1) i.e. (2) – (1) 1000x – x = 2417.8178178… – 2.4178178178….. 999x = 2415.4 Since there is bar over 3 digits, we multiply by 1000 2417.8178178… 2.4178178… 999x = 24154/10 x = 𝟐𝟒𝟏𝟓𝟒/𝟗𝟗𝟗𝟎 Thus, 2.4(178) ̅ = 𝟐𝟒𝟏𝟓𝟒/𝟗𝟗𝟗𝟎

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo