4/15:2/3

To simplify the ratio \( \frac{4}{15} : \frac{2}{3} \), you can start by converting the colon (:) into a fraction. The ratio can be expressed as: \[ \frac{4}{15} \div \frac{2}{3} \] To divide by a fraction, you multiply by its reciprocal: \[ \frac{4}{15} \times \frac{3}{2} \] Now, perform the multiplication: \[ \frac{4 \times 3}{15 \times 2} = \frac{12}{30} \] Next, simplify \( \frac{12}{30} \): \[ \frac{12 \div 6}{30 \div 6} = \frac{2}{5} \] So, the simplified ratio \( \frac{4}{15} : \frac{2}{3} \) is: \[ 2 : 5 \]