5 2 _ : _ 4 15

The ratio provided is \( \frac{5}{4} : \frac{2}{15} \). To simplify this ratio, we can multiply both sides by the denominators to eliminate the fractions: 1. Start with the original ratio: \[ \frac{5}{4} : \frac{2}{15} \] 2. Convert it into a single ratio by cross-multiplying: \[ 5 \cdot 15 : 2 \cdot 4 \] 3. Calculate each product: \[ 75 : 8 \] Thus, the simplified form of the ratio \( \frac{5}{4} : \frac{2}{15} \) is \( 75 : 8 \).