Find the average of the rational numbers $\frac{4}{5}, \frac{2}{3}, \frac{5}{6}$.
Given; $\frac{4}{5}, \frac{2}{3}, \frac{5}{6}$
To Do: Find the average of the rational numbers
Solution:
$\frac{4}{5}+\frac{2}{3}+ \frac{5}{6}$
LCM of 5 , 3 and 6 is 30
$\frac{4\times4 + 2\times10 + 5\times5}{30}$
$\frac{16+20+25}{30}$
$\frac{61}{30}$
Now, to find the average
$\frac{\frac{61}{30}}{3}$
$\frac{61}{90}$
Therefore the average of
$\frac{4}{5}+\frac{2}{3}+ \frac{5}{6}$ is $\frac{61}{90}$
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