EXERCISE 1.4 is call Write all ratios in their simplest form. 1. There are three children in the Skosana family. Each week the eldest earns R270, the middle child earns R180 and the youngest earns R90. Express these amounts as a ratio.

To express the earnings of the three children in the Skosana family as a ratio in their simplest form, follow these steps: ### Given Earnings: - **Eldest child:** R270 - **Middle child:** R180 - **Youngest child:** R90 ### Step 1: Write the Initial Ratio The initial ratio of their earnings is: \[ 270 : 180 : 90 \] ### Step 2: Simplify the Ratio To simplify the ratio, find the **Greatest Common Divisor (GCD)** of the three numbers. 1. **Find the GCD of 270, 180, and 90:** - **Prime factors of 270:** \( 2 \times 3 \times 3 \times 3 \times 5 \) - **Prime factors of 180:** \( 2 \times 2 \times 3 \times 3 \times 5 \) - **Prime factors of 90:** \( 2 \times 3 \times 3 \times 5 \) The common factors are \( 2 \times 3 \times 3 \times 5 = 90 \). 2. **Divide each part of the ratio by the GCD (90):** \[ \frac{270}{90} : \frac{180}{90} : \frac{90}{90} = 3 : 2 : 1 \] ### Final Simplified Ratio: \[ \boxed{3\!:\!2\!:\!1} \]