Question

9. A rational number between and is:1 / 2 and 3/4
a) 2/5
b)5/8
c)4/3
d)1/4​

Answer 1

Given that:

• First rational number = 1/2
• Second rational number = 3/4

To Find:

• A rational number between these two rational numbers.

In first rational number:

Multiply 4 with numerator and denominator.

• 1/2 = (1 × 4)/(2 × 4)
• 1/2 = 4/8

In second rational number:

Multiply 2 with numerator and denominator.

• 3/4 = (3 × 2)/(4 × 2)
• 3/4 = 6/8

A rational number between 4/8 and 6/8 is 5/8.

Hence,

• A rational number between 1/2 and 3/4 is b) 5/8.

Answer 2

$\huge{\underline{\sf Solution:-}}$

Given rational numbers are 1/2 and 3/4

• We have to find a rational number between it both.

Let it be x

Finding x

$\\ \tt{:}\dashrightarrow x=\dfrac{1}{2}\left[\dfrac{1}{2}+\dfrac{3}{4}\right]$

$\\ \tt{:}\dashrightarrow x=\dfrac{1}{2}\left[\dfrac{2+3}{4}\right]$

$\\ \tt{:}\dashrightarrow x=\dfrac{1}{2}\times \dfrac{5}{4}$

$\\ \tt{:}\dashrightarrow \dfrac{1\times 5}{2\times 4}$

$\\ \tt{:}\dashrightarrow x=\dfrac{5}{8}$

Hence option b is correct .