Question

Find any ten rational number between 1/2 and 2/3​

Answer 1

Answer:

1/3,1/4,1/5,1/6,1/7,1/8,1/9,1/10,2/1,2/2,2/3

Answer 2

Question:

Find any 10 rational number between 1/2 and 2/3

Answer:

34/66, 35/66, 36/66, 37/66, 38/66, 39/66, 41/66, 42/66, 43/66

Explaination:

${ \huge {\sf {\orange{Step - 1}}}}$

$\longrightarrow{ \blue{ \sf{ \: find \: lcm \: of \: denominator}}}$

$\begin{array}{r | l}2 & 2,3 \\\cline{2-2} 3 & 1,3 \\\cline{2-2} 1 & 1,1 \\\cline{2-2} & 1,1 \\\end{array}$

2×3=6

${ \huge {\sf {\orange{Step - 2}}}}$

$\longrightarrow{ \blue{ \sf{ \: make \: denominator \: as \: 6}}}$

$\implies\dfrac{1}{2} \times \dfrac{3}{3} = \frac{3}{6}$

$\implies \dfrac{2}{3} \times \dfrac{2}{2} = \frac{4}{6}$

${ \huge {\sf {\orange{Step - 3}}}}$

$\longrightarrow{ \blue{ \sf{ \: multiply \: both \: the \: fraction \: by \: 10 + 1 = 11 \: }}}$

${ \blue{ \sf{ \:or \: any \: number \: more \: than \: 10.}}}$

$\implies \dfrac{3}{6} \times \dfrac{11}{11} = \frac{33}{66}$

$\implies \: \dfrac{4}{6} \times \dfrac{11}{11} = \frac{44}{66}$

${ \huge {\sf {\orange{Step - 4}}}}$

$\longrightarrow{ \blue{ \sf{ \: jotting \: down \: rational \: number.}}}$

34/66, 35/66, 36/66, 37/66, 38/66, 39/66, 41/66, 42/66, 43/66