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

Oct 8, 2015

=color(blue)(19/18

Explanation:

$\frac{5}{6} + \frac{2}{3} - \frac{4}{9}$

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

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

$= \frac{15}{18} + \frac{12}{18} - \frac{8}{18}$

$= \frac{15 + 12 - 8}{18}$

=color(blue)(19/18