How do you simplify #-1/9 + (-5/6)#?

1 Answer
Aug 23, 2017

Answer:

#-17/18#

Explanation:

Begin by removing the parenthesis:

#-1/9+##-5/6#

Simplify:

#-1/9-5/6#

Subtract by first finding the #"Least common denominator"# or #"LCD"# We can do this by listing out the multiples of #9# and #6# and finding the smallest number that they both have in common:

#color(red)6: 6, 12, color(blue)18#

#color(red)9: 9, color(blue)18, 27 #

The LCD is #18#

Now we must make the denominators the same in order to subtract. Also, what we do to the denominator, we must also do to the numerator.

#-[1/9(2/2)]-[5/6(3/3)]#

#-2/18-15/18#

We can now rewrite the expression above as...

#(-2-15)/18#

...and subtract which yields

#-17/18#