Question

Enter 3 rational numbers between 1/2 and 1

Answer 1

First take LCM of both the number
LCM is 2
1/2=1/2
1=2/2

We have to find three rational numbers
So,we will multiply and divide by four (number greater than three)

1/2=4/8
2/2=8/8

Therefore,three rational numbers between 1/2 and 1 are 5/8,6/8,7/8, etc.

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

3 rational numbers between 1/2 & 1

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

You may ask what is rational number.

So let us clear it firstly,

$\:\:$

࿇ It can be expressed in the form of p/q where $\tt q \neq 0$

$\:\:$

࿇ Its decimal expansion terminates

$\:\:$

࿇ Non terminating repeating decimal expansions are also of rational numbers

$\:\:$

Firstly we need a same denominator.

Taking LCM = 2

$\:\:$

$\purple\longrightarrow$ 1/2 & 2/2

$\:\:$

$\underline{\bold{\texttt{Multiplying the above equation by 4}}}$

$\:\:$

$\sf \longmapsto \dfrac { 4 } { 2 } \& \dfrac { 8 } { 2 }$

$\:\:$

Hence 3 rational numbers will be :

$\:\:$

$\sf \longmapsto \dfrac { 5 } { 2 } , \dfrac { 6 } { 2 } , \dfrac { 7} { 2 }$

$\:\:$

$\rule{200}5$