How do you evaluate #-\frac { 1} { 3} - ( - \frac { 1} { 2} ) \div ( - \frac { 1} { 3} ) #?

1 Answer
Jan 2, 2017

#=-11/6#

#-1 5/6#

Explanation:

There are 2 terms. Calculate the answer for the division first.

#-1/3 - (color(blue)(-1/2 div -1/3))#

#=-1/3 - (color(blue)(-1/2 div -1/3))" larr" (- xx- = +)#

#=-1/3 - (color(blue)(+1/2 xx 3/1))#

#=-1/3 -color(blue)(3/2)" "larr# find a common denominator

#=-2/6 -9/6#

# = (-2-9)/6#

#=-11/6#

#-1 5/6#