Question

Find a rational number lying between 1/3 and 1/2​

Answer 1

$\huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S} \fbox\green{w}\fbox\blue{E}\fbox\orange{r}$

Let

• x = 1/3
• y = 1/2

=> required rational number lying between x and y

= 1/2(x+y)

= 1/2 (1/3+1/2)

= 1/2x5/6

= 5/12

Hence, 5/12 is a rational number lying between 1/2 and 1/3

Answer 2

$\huge{\color{t}{\textsf{\textbf {\underline{\underline{ Anѕwєr : }}}}}}$

• A rational number between 1/3 and 1/2 is 5/12.
• Step-by-step explanation:

To Find :

• A rational number between 1/3 and 1/2.

As we know that :

• If x and y are two rational numbers. Then,

$\sf{A\;rational\;number\;between \;x\;and\;y=\dfrac{1}{2}(x+y)}$

(x+y)

Here,

x = 1/3

y = 1/2

Substituting the values,

$\sf{A\;rational\;number\;between \;\dfrac{1}{3}\;and\;\dfrac{1}{2}=\dfrac{1}{2}\left(\dfrac{1}{3}+\dfrac{1}{2}\right)}$

Adding the numbers,

• ∵ LCM of 3 and 2 is 6.

$\sf\longrightarrow\dfrac{1}{2}\left(\dfrac{2+3}{6}\right)$

$\sf\longrightarrow\dfrac{1}{2}\left(\dfrac{5}{6}\right)$

Opening the brackets,

$\sf\longrightarrow\dfrac{1}{2}\times\dfrac{5}{6}$

Multiplying the numbers,

$\sf\longrightarrow\dfrac{5}{12}$

• Hence, a rational number between 1/3 and 1/2 is 5/12.

__________________________