Question

The average of the rational numbers 2/3, 5/9, 5/6 is– *​

Answer 1

Answer:

Step-by-step explanation:

average of 2/3, 5/9 and 5/6= (2/3 + 5/9 +5/6)/3

= to find the sum of 2/3, 5/9, and 5/6, we need to find LCM of 3, 6, and 9, as they are the denominators of unlike fractions, which need to be converted to like fractions.

L.C.M of 3,6,9= 3X2X3= 6X3= 18

$\frac{2}{3}$ x $\frac{6}{6}$= 12/18

5/9X 2/2 = 10/18

= 5/6X 3/3= 15/18

= average of 12/18, 10/18, and 15/18= 10+12+15/18/3

= 37/18/3

= $\frac{37}{18}$ x $\frac{1}{3}$= 37/54