Question

Find a rational number between 2/3 and 3/4 hint first write the rational numbers with equal denominators

Answer 1

$\sf \red \bigstar \: SOLUTION \: \red \bigstar$

$\sf \: \longmapsto \: \dfrac{2}{3} \: \: and \: \dfrac{3}{4}$

$\\ \sf \longmapsto \dfrac{2}{3} \times \dfrac{8}{8} = \dfrac{16}{24}$

$\\ \sf \longmapsto \dfrac{3}{4} \times \dfrac{6}{6} = \frac{18}{24}$

$\\ \green{ \frak{h}ence} \: \red { \frak{the \: \: rational \: number \: between }} \\ \red{ \frak{ \dfrac{2}{3} \: and \: \dfrac{3}{4} = \dfrac{17}{24} with \: same \: }} \\ \red{ \frak{denominator.}}$

$\\ \\ {\pink {\underbrace{ hope \: its \: help \: you}}}$

Answer 2

\begin{gathered} \sf \red \bigstar \: SOLUTION \: \red \bigstar \\ \\ \end{gathered}

★SOLUTION★

\sf \: \longmapsto \: \dfrac{2}{3} \: \: and \: \dfrac{3}{4}⟼

3

2

and

4

3

\begin{gathered} \\ \sf \longmapsto \dfrac{2}{3} \times \dfrac{8}{8} = \dfrac{16}{24} \end{gathered}

⟼

3

2

×

8

8

=

24

16

\begin{gathered} \\ \sf \longmapsto \dfrac{3}{4} \times \dfrac{6}{6} = \frac{18}{24} \end{gathered}

⟼

4

3

×

6

6

=

24

18

\begin{gathered} \\ \green{ \frak{h}ence} \: \red { \frak{the \: \: rational \: number \: between }} \\ \red{ \frak{ \dfrac{2}{3} \: and \: \dfrac{3}{4} = \dfrac{17}{24} with \: same \: }} \\ \red{ \frak{denominator.}}\end{gathered}

hencetherationalnumberbetween

3

2

and

4

3

=

24

17

withsame

denominator.

\begin{gathered} \\ \\ {\pink {\underbrace{ hope \: its \: help \: you}}}\end{gathered}

hopeitshelpyou