Mixed Numbers Math Example 5

Solution

1. 1
   Convert each mixed number to an improper fraction: $2\frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}$ and $1\frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2}$.
2. 2
   Multiply the improper fractions: $\frac{7}{3} \times \frac{3}{2} = \frac{7 \times 3}{3 \times 2} = \frac{21}{6}$.
3. 3
   Simplify: $\gcd(21, 6) = 3$, so $\frac{21}{6} = \frac{7}{2}$.
4. 4
   Convert back to a mixed number: $\frac{7}{2} = 3\frac{1}{2}$.