Convert the following mixed numbers to improper fractions: 3 rac23, 3 rac34, 4 rac12, 3 rac13

Step 1: Convert all mixed numbers to improper fractions.
We convert each mixed number in the expression to an improper fraction:
$3\frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{11}{3}$
$3\frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{4}$
$4\frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2}$
$3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}$
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