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

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Answer 1 · 2017-05-21T23:03:46

See a solution process below:

First, we must convert each of the mixed numbers to improper fractions as follows:

#3 2/3 + 2 4/3 => (3 + 2/3) + (2 + 4/3) =>#

#((3/3 xx 3) + 2/3) + ((3/3 xx 2) + 4/3) =>#

#(9/3 + 2/3) + (6/3 + 4/3)#

We can next add the fractions within the parenthesis and then add the results:

#(9 + 2)/3 + (6 + 4)/3 => 11/3 + 10/3 => 21/3#

We can now reduce the fraction:

#21/3 => (3 xx 7)/3 => (color(red)(cancel(color(black)(3))) xx 7)/color(red)(cancel(color(black)(3))) => 7#