Question

Find three rational numbers between 1/3 and 1/2

Answer 1

hi there,
3 rational number b/w 1/2 and 1/2 are 9/24,10/24,12/24.
i hope this helps u...

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

$\tt{\rightarrow a=\dfrac{1}{3}}$

$\tt{\rightarrow b=\dfrac{1}{2}}$

Also

n = 3

Therefore,

$\tt{\rightarrow\dfrac{b-a}{n+1}}$

$\tt{\rightarrow\dfrac{1/2-1/3}{3+1}}$

$\tt{\rightarrow\dfrac{3-2/6}{4}}$

$\tt{\rightarrow\dfrac{1}{6}\times\dfrac{1}{4}}$

$\tt{\rightarrow\dfrac{1}{24}}$

Rational numbers are :-

$\tt{\rightarrow a+\dfrac{b-a}{n+1},a+\dfrac{2(b-a)}{n+1},a+\dfrac{3(b-a)}{n+1}}$

$\tt{\rightarrow\dfrac{1}{3}+\dfrac{1}{24},\dfrac{1}{3}+\dfrac{3}{24}}$

$\tt{\rightarrow\dfrac{9}{24},\dfrac{1}{3}+\dfrac{1}{12},\dfrac{1}{3}+\dfrac{1}{8}}$

$\tt{\rightarrow\dfrac{3}{8},\dfrac{5}{12},\dfrac{11}{24}}$