1. **State the problem:** We have a spinner with three coloured sections: Orange, Green, and Black. The frequencies of landing on each colour after several spins are given as 5, 4, and 9 respectively. 2. **Find the total number of spins:** Add the frequencies of all colours. $$\text{Total spins} = 5 + 4 + 9 = 18$$ 3. **Find the relative frequency of landing on Green:** The relative frequency is the fraction of times the spinner lands on Green out of the total spins. $$\text{Relative frequency of Green} = \frac{\text{Frequency of Green}}{\text{Total spins}} = \frac{4}{18}$$ 4. **Simplify the fraction:** Both numerator and denominator can be divided by 2. $$\frac{4}{18} = \frac{4 \div 2}{18 \div 2} = \frac{2}{9}$$ **Final answers:** - Total number of spins: $18$ - Relative frequency of Green: $\frac{2}{9}$