Brian irons \( \frac{2}{9} \) of his shirt in \( 3 \frac{3}{5} \) minutes. Brian irons at a constant rate At this rate, how much of his shirt does he iron each minute? of his shirt

To determine how much of his shirt Brian irons each minute, we can follow these steps: 1. **Understand the Given Information:** - **Total Portion Ironed:** \( \frac{2}{9} \) of the shirt. - **Total Time Taken:** \( 3 \frac{3}{5} \) minutes. 2. **Convert Mixed Number to Improper Fraction:** \( 3 \frac{3}{5} = \frac{(3 \times 5) + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5} \) minutes. 3. **Calculate the Rate of Ironing:** To find out how much of the shirt is ironed each minute, divide the total portion ironed by the total time taken. \[ \text{Rate} = \frac{\text{Total Portion Ironed}}{\text{Total Time Taken}} = \frac{\frac{2}{9}}{\frac{18}{5}} \] 4. **Simplify the Division of Fractions:** Dividing by a fraction is the same as multiplying by its reciprocal. \[ \frac{\frac{2}{9}}{\frac{18}{5}} = \frac{2}{9} \times \frac{5}{18} = \frac{2 \times 5}{9 \times 18} = \frac{10}{162} \] 5. **Reduce the Fraction to Its Simplest Form:** \[ \frac{10}{162} = \frac{10 \div 2}{162 \div 2} = \frac{5}{81} \] 6. **Final Answer:** Brian irons \( \frac{5}{81} \) of his shirt each minute. **Conclusion:** At a constant rate, Brian irons \(\frac{5}{81}\) of his shirt every minute.