Question #abb94

1 Answer
Nov 13, 2017

See a solution process below:

Explanation:

First, convert each of the mixed numbers to an improper fraction:

#3 2/3 = 3 + 2/3 = (3/3 xx 3) + 2/3 = 9/3 + 2/3 = (9 + 2)/3 = 11/3#

#1 1/2 = 1 + 1/2 = (2/2 xx 1) + 1/2 = 2/2 + 1/2 = (2 + 1)/2 = 3/2#

To add or subtract fractions they must be over common denominators:

#11/3 xx 2/2 = 22/6#

#3/2 xx 3/3 = 9/6#

We can now write the problem as:

#22/6 - 9/6 = (22 - 9)/6 = 13/6#

We can now convert this result back to a mixed number:

#13/6 = (12 + 1)/6 = 12/6 + 1/6 = 2 + 1/6 = 2 1/6#