Mixed-Improper Conversion Math Example 4

Solution

1. 1
   Convert $\frac{29}{5}$ to a mixed number: $29 \div 5 = 5$ remainder $4$, so $\frac{29}{5} = 5\frac{4}{5}$.
2. 2
   Alternatively convert $3\frac{2}{5}$ to improper: $3 \times 5 + 2 = 17$, so $3\frac{2}{5} = \frac{17}{5}$.
3. 3
   Subtract improper fractions (same denominator): $\frac{29}{5} - \frac{17}{5} = \frac{12}{5}$.
4. 4
   Convert result to mixed: $12 \div 5 = 2$ remainder $2$, so $\frac{12}{5} = 2\frac{2}{5}$.