Question

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

Answer 1

$ \Large \mathfrak\orange{\bigstar~~~Given :}$

It is given to find three rational number between $\sf \frac{2}{3}$ and $\sf \frac{3}{2}$.

$ \Large \mathfrak\green{\bigstar~~~Solution :}$

To find three rational number between $\sf \frac{2}{3}$ and $\sf \frac{3}{2}$.

• We will first, make the denominators equal;

$\sf{\frac{2 \times 2}{3 \times 2} } \: \: and \: \: \frac{3 \times 3}{2 \times 3}$

$\leadsto \sf{ \frac{4}{6} \: \: and \: \: \frac{9}{6} }$

• Now, we can find three rational number between the given fractions;

$\mapsto~~ \bf \red{\frac{4}{6}, \frac{5}{6}, \frac{6}{6}, \frac{7}{6}, \frac{8}{6} ~ ~and ~~ \frac{9}{6}}$.

$\Rightarrow$ Thus, the three rational numbers between $\sf \frac{2}{3}$ and $\sf \frac{3}{2}$ can be any of the above you like. . .

$\large {\colorbox{green}{\sf{\color{white}{\_@MrNawabzaada~~نواب}}}}$