# how do you add #2\frac { 1} { 2} + 2\frac { 2} { 3}#?

See below.

Step 1: To start off, you must multiply the denominater

by the whole number

Step 2: Now, you must add the number we just got

to the numerator

Since 2 (the denominater) has to be multiplied by 3 to get to 6, 5 (the numerator) must also be multiplied by 3.

Now, in the other fraction, since 3 (denominater) must be multiplied by 2 to get 6, 8 (the numerator) must also be multiplied by 2.

Now that the denominaters are the same, the numerators must be added to complete the problem.

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To add (2\frac{1}{2}) and (2\frac{2}{3}), first convert the mixed numbers to improper fractions, then add the fractions together, and finally simplify if needed.

(2\frac{1}{2}) as an improper fraction is (2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}).

(2\frac{2}{3}) as an improper fraction is (2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}).

Now, add the fractions: [ \frac{5}{2} + \frac{8}{3} = \frac{15}{6} + \frac{16}{6} = \frac{15 + 16}{6} = \frac{31}{6} ]

So, (2\frac{1}{2} + 2\frac{2}{3} = 2\frac{31}{6}).

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