Question

5rational number between. 1/2and1/4

Answer 1

Hey, here is Ur answer *****
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Sol.

$let \: a = \frac{1}{2} \: \: \: b = \frac{1}{4} \: \: and \: \: n = \: 5 \\ \\formula \: \: . \\ d = \frac{(y - x)}{(n + 1)} = \frac{ \frac{1}{4} - \frac{1}{2} }{5 + 1} = > \frac{ \frac{ - 1}{4} }{6} \\ \\ = > \frac{ - 1}{4} \times \frac{1}{6} = \frac{ - 1}{24}$

Five rational number between X and Y are :
(x+d ) , ( x+2d ) , ( x+3d ) , ( x+4d ) , (x+5d) .

$= > ( \frac{1}{2} + \frac{ - 1}{24} ) ,\: \: ( \frac{1}{2}, + \frac{ - 2}{24} ), \: \: ( \frac{1}{2} + \frac{ - 3}{24} ), \\ \\ ( \frac{1}{2} + \frac{ - 4}{24} ), \: \: \: \: ( \frac{1}{2} + \frac{ - 5}{24} )$

if we lcm these all .........

we get,

$= > \: \frac{11}{24}, \: \: \frac{10}{24}, \: \: \frac{9}{24}, \: \: \frac{8}{24} ,\: \: \frac{7}{24} ,\: \: \: ans.$

Hope it's helps u ☺☺