Question

find a rational number between a and b if a=-4/9,b=11/6
answer will be 25/36 but please give the method​

Answer 1

Given :-

• Two numbers a = -4 / 9 and b = 11 / 6 .

To Find :-

• A rational number between them .

Solution :-

Say if we have two numbers , as x and , y then a rational number between them is given by ,

→ Number = x + y / 2 .

Using above concept :-

→ N = (-4 / 9 + 11 / 6 ) ÷ 2

→ N = ( -8 + 33 / 18 ) ÷ 2

→ N = 25 / 18 × 1 / 2

→ N = 25/36

Hence the required number is 25/36 .

Answer 2

Given:-

• a = -4/9
• b = 11/9

To Find:-

• Rational number between them.

Solution :-

Let the two numbers be x and y then the rational number will be

$\frac{x + y}{2}$

so,

$n = \frac{( - 4)}{9} + \frac{11}{6} \div 2 \\ \\ n = \frac{2 \times - 4 + 3 \times 11}{18} \div 2 \\ \\ n = \frac{ - 8 + 33}{18} \div 2 \\ \\ n = \frac{25}{18} \times \frac{1}{2} \\ \\ n = \frac{25}{36}$

Therefore, the answer is

$\boxed{ \frac{25}{36}}$