Question

(a) Find the average of the rational numbers 4/5,2/3,5/6​

Answer 1

↪Question:-

• (a) Find the average of the rational numbers : $\dfrac{4}{5}$, $\dfrac{2}{3}$ and $\dfrac{5}{6}$

↪Solution :-

Given :

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

To Find :

• The average of the rational numbers.

$\boxed{ \tt{Average = \dfrac{Sum \: of \: observations}{ Number \: of \: observations}}}$

We know that :

• Rational numbers are : $\dfrac{4}{5}$, $\dfrac{2}{3}$ and $\dfrac{5}{6}$
• Number of rational numbers = 3

$\sf{ : \implies{ Average = \dfrac{Sum \: of \: rational \: numbers}{ Number \: of \: rational \: numbers}}} \\ \\ \sf{ : \implies{ Average = \dfrac{ \dfrac{4}{5} + \dfrac{2}{3} + \dfrac{5}{6} }{3}}} \\ \\ \sf{ : \implies{ Average = \dfrac{ \dfrac{24 + 20 + 25}{30} }{3} }} \\ \\ \sf{ : \implies{ Average = \dfrac{ \dfrac{69}{30} }{3} }} \\ \\ \sf{ : \implies{ Average = \dfrac{69}{30} \div 3 }} \\ \\ \sf{ : \implies{ Average = \dfrac{69}{30} \times \dfrac{1}{3} }} \\ \\ \sf{ : \implies{ Average = \dfrac{23}{30} }}$

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

$\rule {307}{2}$

Answer 2

↪Question:-

(a) Find the average of the rational numbers : , and

↪Solution :-

Given :

The rational numbers are , and

To Find :

The average of the rational numbers.

We know that :

Rational numbers are : , and

Number of rational numbers = 3

:⟹Average=

Number of rational numbers/

Sum of rational numbers

:⟹Average=(4/5+2/3+5/6)/3

69/30÷3

69/30*1/3

23/30 Is the answer.

I hope it can help you.

.

.