Use the given tables to compare te ratios 5 : 9 and 3 : 6.
To compare the ratios 5:9 and 3:6, we need to determine if they are equivalent by simplifying both ratios.
To simplify the ratio 5:9, we divide both numbers by their greatest common divisor. Since 5 and 9 have no common factors other than 1, the ratio 5:9 cannot be simplified further.
To simplify the ratio 3:6, we divide both numbers by their greatest common divisor. The greatest common divisor of 3 and 6 is 3. Dividing both numbers by 3, we get the simplified ratio 1:2.
Hence, the simplified ratios are 5:9 and 1:2.
Since the two ratios are not equivalent, we can conclude that 5:9 is not equal to 3:6.