rite the following ratios in its simplest form. (a) \( 9: 15 \) (b) \( 21: 35 \) (c) \( 12: 24: 48 \) (d) \( 18: 54: 81 \)

To simplify the ratios, we need to divide each term by their greatest common divisor (GCD). For \( 9: 15 \), the GCD is \( 3 \). Dividing both terms by \( 3 \) gives us \( 3: 5 \). For \( 21: 35 \), the GCD is \( 7 \). Dividing both terms by \( 7 \) results in \( 3: 5 \). In the case of \( 12: 24: 48 \), the GCD is \( 12 \). So, when we divide each term by \( 12 \), we simplify it to \( 1: 2: 4 \). Lastly, for \( 18: 54: 81 \), the GCD is \( 9 \). After dividing by \( 9 \), we get the simplified ratio \( 2: 6: 9 \), which can further simplify to \( 2: 3: 4.5 \) if we choose to work with decimals, or we can stick with \( 2: 6: 9 \) for whole numbers. So, the final simplified ratios are: (a) \( 3: 5 \) (b) \( 3: 5 \) (c) \( 1: 2: 4 \) (d) \( 2: 6: 9 \)