1. **State the problem:** We need to determine which people are tall enough to ride the roller coaster. The minimum height required is $1 \frac{2}{3}$ meters. 2. **Convert mixed numbers to improper fractions or decimals:** - Minimum height: $1 \frac{2}{3} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3} \approx 1.6667$ m - Rhys's height: $1 \frac{3}{5} = 1 + \frac{3}{5} = \frac{5}{5} + \frac{3}{5} = \frac{8}{5} = 1.6$ m 3. **Calculate Mia's height:** Mia is $1 \frac{1}{6}$ times Rhys's height. Convert $1 \frac{1}{6}$ to improper fraction: $$1 \frac{1}{6} = 1 + \frac{1}{6} = \frac{6}{6} + \frac{1}{6} = \frac{7}{6} \approx 1.1667$$ Mia's height: $$\frac{7}{6} \times 1.6 = \frac{7}{6} \times \frac{8}{5} = \frac{7 \times 8}{6 \times 5} = \frac{56}{30} = \frac{28}{15} \approx 1.8667 \text{ m}$$ 4. **Calculate Isaac's height:** Isaac is $\frac{1}{6}$ m shorter than Mia. $$\text{Isaac's height} = 1.8667 - \frac{1}{6} = 1.8667 - 0.1667 = 1.7 \text{ m}$$ 5. **Harrison's height:** Given as $1.65$ m. 6. **Compare each height to the minimum height $1.6667$ m:** - Rhys: $1.6 < 1.6667$ (cannot ride) - Mia: $1.8667 > 1.6667$ (can ride) - Isaac: $1.7 > 1.6667$ (can ride) - Harrison: $1.65 < 1.6667$ (cannot ride) **Final answer:** Mia and Isaac can ride the roller coaster. Rhys and Harrison cannot.