c) $$ 7 \frac{1}{3} \cdot \frac{3}{8} $$

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UpStudy AI · Accepted Answer

1. Convert the mixed number $$ 7\frac{1}{3} $$ to an improper fraction:
   $$
   7\frac{1}{3} = \frac{7 \times 3 + 1}{3} = \frac{21 + 1}{3} = \frac{22}{3}.
   $$

2. Multiply the fractions:
   $$
   \frac{22}{3} \cdot \frac{3}{8} = \frac{22 \times 3}{3 \times 8}.
   $$

3. Cancel the common factor $$ 3 $$ in the numerator and denominator:
   $$
   \frac{22 \cancel{3}}{\cancel{3} \times 8} = \frac{22}{8}.
   $$

4. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is $$ 2 $$:
   $$
   \frac{22 \div 2}{8 \div 2} = \frac{11}{4}.
   $$

The final answer is $$ \frac{11}{4} $$.
The final answer is $$ \frac{11}{4} $$.

c)

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