Question

find the average of the rational number
4/5,2/3,5/6​

Answer 1

Answer: 69

Step-by-step explanation:

Better to find the common denominator first - i.e. the number that can be divided by 5, 3, and 6. It’s 30.

4/5 = 24/30

2/3 = 20/30

5/6 = 25/30

Add the top numbers and you get 69.

69/3 = 23

The average is 23/30.

Answer 2

☯GIVEN

• The rational numbers are : $\bf{\dfrac{4}{5}}$ , $\bf{\dfrac{2}{3}}$ and $\bf{\dfrac{5}{6}}$.

☯TO FIND :

• The average of the given rational numbers.

☯REQUIRED FORMULA :

$\bigstar{\underline{\boxed{\purple {\tt{Average = \dfrac{Total\: sum \: of \:numbers}{ Total\: number \: of\:numbers }}}}}}\bigstar$

➲SOLUTION :

We know that ,

• Rational numbers are : $\bf{\dfrac{4}{5}}$ , $\bf{\dfrac{2}{3}}$ and $\bf{\dfrac{5}{6}}$

• Number of rational numbers = 3

Substituting the given values :

$\sf{ : \implies{ Average = \dfrac{ \dfrac{4}{5} + \dfrac{2}{3} + \dfrac{5}{6} }{3}}}$

$\sf{ : \implies{ Average = \dfrac{ \dfrac{24 + 20 + 25}{30} }{3} }}$

$\sf{ : \implies{ Average = \dfrac{ \dfrac{69}{30} }{3} }}$

$\sf{ : \implies{ Average = \dfrac{69}{30} \div 3 }}$

$\sf{ : \implies{ Average = \dfrac{ \cancel{69}}{30} \times \dfrac{1}{ \cancel{3}} }}$

$:\implies{\underline{\boxed{\red{\bf{Average = \dfrac{23}{30} }}}}}$

$\huge{\pink{\therefore}}$The average of the given rational numbers is $\bf{\dfrac{23}{30}}$.