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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 You are here
Expressing numbers in p/q form
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Expressing decimal in p/q
Last updated at Sept. 10, 2020 by Teachoo
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