How do you simplify 5/6 + 2/3 - 4/9?

1 Answer
Oct 8, 2015

=color(blue)(19/18

Explanation:

5/6 +2/3-4/9

We first need to take the L.C.M of the denominators:
L.C.M (6,3,9) = 18

5/6 +2/3-4/9= (5*3)/(6*3) +(2*6)/(3*6)-(4*2)/(9*2

=15/18 +12/18 - 8/18

=(15+12-8)/18

=color(blue)(19/18