Question

find the three rational number between 11 and 12 . with full explenation in maths​

Answer 1

☯GIVEN :

• 11 and 12.

☯TO FIND :

• Three rational numbers between 11 and 12.

☯KNOWLEDGE REQUIRED :

• Rational numbers can be found between two rational numbers ( a and b) , when a is less than b (a < b).

☯FORMULA REQUIRED :

• $\bigstar \underline{ \pink{\boxed{ \bf{ Rational \: Number = \dfrac{a + b}{2} }}}}$

➲SOLUTION :

• 1)

$\implies{\sf{ Rational \: Number =\dfrac{a + b}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 11 + 12}{2}}}$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number = \dfrac{23}{2} }}} }}$

• 2)

$\implies{ \sf{ Rational \: Number =\dfrac{a + b}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac{11 + \dfrac{23 }{2}}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{22 + 23}{2}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{45}{2}}{2}} }$

$\implies{ \sf{ Rational \: Number =\dfrac{45}{2} \div 2} }$

$\implies{ \sf{ Rational \: Number =\dfrac{45}{2} \times \dfrac{1}{2}} }$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 45}{4} }}} }}$

• 3)

$\implies{ \sf{ Rational \: Number =\dfrac{a + b}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\dfrac{23 }{2}+12}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\dfrac{23 + 24 }{2}}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{47}{2}}{2}} }$

$\implies{ \sf{ Rational \: Number =\dfrac{47}{2} \div 2} }$

$\implies{ \sf{ Rational \: Number =\dfrac{47}{2} \times \dfrac{1}{2}} }$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 47}{4} }}} }}$