How do you add #8\frac { 1} { 2} + 3\frac { 4} { 5}#?

1 Answer
Dec 7, 2016

#123/10# or #12 3/10#

Explanation:

Step 1) Convert the mixed fractions into improper fractions:

#((2/2)*8 + 1/2) + ((5/5)*3 + 4/5)#

#16/2 + 1/2 + 15/5 + 4/5#

#17/2 + 19/5#

Step 2) Multiply each term by the proper form of #1# to get each fraction over a common denominator so we can add the numerators:

#(5/5 * 17/2) + (2/2*19/5)#

#85/10 + 38/10#

#123/10#

or

#120/10 + 3/10#

#12 + 3/10#

#12 3/10#