What is the relationship between the ratios? (16)/(72) and (8)/(32) Drag and drop to complete the statement The ratios are square

To determine the relationship between the ratios $\frac{16}{72}$ and $\frac{8}{32}$, we need to simplify each ratio and compare them.<br /><br />First, let's simplify $\frac{16}{72}$:<br />1. Find the greatest common divisor (GCD) of 16 and 72, which is 8.<br />2. Divide both the numerator and the denominator by the GCD:<br /> \[<br /> \frac{16}{72} = \frac{16 \div 8}{72 \div 8} = \frac{2}{9}<br /> \]<br /><br />Next, let's simplify $\frac{8}{32}$:<br />1. Find the greatest common divisor (GCD) of 8 and 32, which is 8.<br />2. Divide both the numerator and the denominator by the GCD:<br /> \[<br /> \frac{8}{32} = \frac{8 \div 8}{32 \div 8} = \frac{1}{4}<br /> \]<br /><br />Now, we compare the simplified ratios:<br />- $\frac{2}{9}$<br />- $\frac{1}{4}$<br /><br />To compare these fractions, we can find a common denominator or convert them to decimals:<br />- $\frac{2}{9} \approx 0.222$<br />- $\frac{1}{4} = 0.25$<br /><br />Since $0.222 \neq 0.25$, the ratios $\frac{16}{72}$ and $\frac{8}{32}$ are not equivalent.<br /><br />Therefore, the completed statement is:<br />The ratios are **not equivalent**.