Question

Find the average of the rational numbers 4/5, 2/3, 5/6

Answer 1

Answer:

24/30

Step-by-step explanation:

4/5,

2/3,

5/6

common multiple of denominators

=30=24/30,20/30,25/30

average=24/30

Answer 2

The Average of the rational numbers $\frac{4}{5}, \frac{2}{3}, \frac{5}{6}$ is $\frac{23}{30}$.

Given data: The rational numbers are $\frac{4}{5}, \frac{2}{3}, \frac{5}{6}$.

To find      : The average of the given numbers.

Formula    :  Average = $\frac{\text{Sum}}{\text{Total \ numbers}]}$

Total no:   3

Finding sum for the given values :

Sum = $\frac{4}{5}+\frac{2}{3}+\frac{5}{6}$

Taking LCM for denominator values 5, 3, 6.

L.c.m for the denominator 5,3,6 is 30.

We get,   

$\frac{4}{5}+\frac{2}{3}+\frac{5}{6}$ = $\frac{4\times6}{5\times6}+ \frac{2\times10}{3\times10} +\frac{5\times5}{6\times5}$

               = $\frac{24}{30}+ \frac{20}{30}+ \frac{25}{30}$

Sum =  $\frac{69}{30}$.

Finding Average :

Applying the average formula, we get

Average = $\frac{\text{Sum}}{\text{Total \ numbers}}$

Average = $\frac{\frac{69}{30} }{3}$

              = $\frac{69}{30}\times\frac{1}{3}$    

Average = $\frac{23}{30}$.                                      

Therefore, the average is $\frac{23}{30}$.

To learn more...

1) Find the average of four number 6/4,5/3, 4/6 ,8/2

brainly.in/question/1333981

2) Find the average of the rational numbers 4.5, 2.3, 5.6

brainly.in/question/9755705