Question

find four rational number between 1/4 and 1/3

Answer 1

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Answer 2

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$find \: four \: rational \: number \: between \: \frac{1}{4} \: and \: \frac{1}{3} \\ solution - \\ x = \frac{1}{4} \\ y = \frac{1}{3} \\ n = 4 \\ then \\ d = \frac{y - x}{n + 1} \\ d = \frac{ \frac{1}{4 } - \frac{1}{3} }{4 + 1} \\ d = \frac{ \frac{3 - 4}{12} }{5} \\ d = \frac{ \frac{1}{12} }{5} \\ = \frac{1}{12} \times \frac{1}{5} = \frac{1}{60} \\ so \\ x + d = \frac{1}{4} + \frac{1}{60} = \frac{15 + 1}{60 } = \frac{16}{60} \\ x + 2d = \frac{1}{4} + \frac{2}{60} = \frac{15 + 2}{60} = \frac{17}{60} \\ x + 3d = \frac{1}{4} + \frac{3}{60} = \frac{15 + 3}{60} = \frac{18}{60} \\ x + 4d = \frac{1}{4} + \frac{4}{60} = \frac{15 + 4}{60} = \frac{19}{60} \\ answer$

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