Question

maths assignment
Find three rational numbers between
3/5 and 4/8
​

Answer 1

Answer:

224/400, 232/400, 238/400

Step-by-step explanation:

[3/5x80/80] , [4/8x50/50]

240/400 , 200/400

∴3 rational numbers between 3/5 and 4/8 are 224/400, 232/400, 238/400.

Answer 2

➲CORRECT QUESTION :

• Find three rational numbers between $\sf{ \dfrac{4}{8}}$ and $\sf{ \dfrac{3}{5} }$.

☯GIVEN :

• $\bf{ \dfrac{4}{8}}$ and $\bf{ \dfrac{3}{5} }$.

☯TO FIND :

• Three rational numbers between $\bf{ \dfrac{4}{8}}$ and $\bf{ \dfrac{3}{5} }$.

☯KNOWLEDGE REQUIRED :

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

☯FORMULA REQUIRED :

• $\bigstar \underline{ \purple{\boxed{ \bf{ Rational \: Number = \dfrac{x+ y}{2} }}}}$

➲SOLUTION :

• 1)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\dfrac{4}{8} + \dfrac{3}{5}}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{20+ 24}{40}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{44}{40}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac{44}{40} \div 2 }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\cancel{44}}{ \cancel{40}} \times \dfrac{1}{\cancel{2}} }}$

$\implies{ \boxed{ \red{ \bf{ Rational \: Number = \dfrac{11}{20} }}}}$

• 2)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\dfrac{4}{8} + \dfrac{11}{20}}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{20+ 22}{40}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{42}{40}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac{42}{40} \div 2 }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\cancel{42}}{40} \times \dfrac{1}{\cancel{2}} }}$

$\implies{ \boxed{ \red{ \bf{ Rational \: Number = \dfrac{21}{40} }}}}$

3)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac{\dfrac{11}{20} + \dfrac{3}{5}}{2} }}$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{11 + 12}{20}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{23}{20}}{2}} }$

$\implies{ \sf{ Rational \: Number = \dfrac{23}{20} \div 2 }}$

$\implies{ \sf{ Rational \: Number = \dfrac{23}{20} \times \dfrac{1}{2}}}$

$\implies{ \boxed{ \red{ \bf{ Rational \: Number = \dfrac{23}{40} }}}}$