How do you simplify #-7 1/2 +5 1/3#?

1 Answer
Jan 14, 2017

Answer:

See entire simplification process below:

Explanation:

First, take each mixed fraction and convert it into an improper fraction:

#-((2/2 xx 7) + 1/2) + ((3/3 xx 5) + 1/3)#

#-(14/2 + 1/2) + (15/3 + 1/3)#

#-15/2 + 16/3#

Next, we need to get each fraction over a common denominator (in this case #6#) so we can add the fractions. We do this by multiplying each fraction by the appropriate form of #1#:

#(-15/2 xx 3/3) + (16/3 xx 2/2)#

#-45/6 + 32/6#

Now, we can add the fractions:

#(-45 + 32)/6#

#-13/6#

Or

#-2 1/6#