Compare Ratios Quick Check%0D%0A5 of 55 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AUse the given tables to compare the ratios 16:18 and 5:6. Which ratio is greater?%0D%0A%0D%0A8%099%0D%0A16%0918%0D%0A24%0927%0D%0A32%0936%0D%0A5%096%0D%0A10%0912%0D%0A15%0918%0D%0A20%0924(1 point)%0D%0AResponses%0D%0A%0D%0AThe two ratios are equal.%0D%0AThe two ratios are equal.%0D%0A%0D%0A16:18 is greater.%0D%0Aratio of 16 to 18 is greater.%0D%0A%0D%0A5:6 is greater.%0D%0Aratio of 5 to 6 is greater.%0D%0A%0D%0AMore rows need to be added to the tables to be able to compare the ratios.
To compare the ratios 16:18 and 5:6, we can simplify each ratio by dividing both terms by their greatest common divisor:
16:18 = 8:9
5:6 = 5:6
Now we can compare the simplified ratios. In this case, 8:9 is greater than 5:6. Therefore, the ratio of 16:18 is greater.
To compare the ratios 16:18 and 5:6, we can simplify both ratios to their simplest form.
The ratio 16:18 can be simplified by dividing both numbers by their greatest common factor, which is 2. Dividing 16 by 2 gives us 8, and dividing 18 by 2 gives us 9. So, the simplified ratio is 8:9.
The ratio 5:6 cannot be simplified any further, as there is no common factor other than 1. So, the simplified ratio remains as 5:6.
Comparing the simplified ratios, we see that 8:9 is greater than 5:6. Therefore, the ratio 16:18 is greater than the ratio 5:6.
To compare the ratios 16:18 and 5:6, we can simplify both ratios to their simplest form and then compare them.
To simplify the ratio 16:18, we can divide both numbers by their greatest common divisor (GCD), which is 2 in this case. Dividing 16 by 2 gives us 8, and dividing 18 by 2 gives us 9. So the simplified form of 16:18 is 8:9.
Similarly, to simplify the ratio 5:6, we divide both numbers by their GCD, which is 1 in this case. So the simplified form of 5:6 remains the same, which is 5:6.
Now we can compare the simplified ratios. The ratio 8:9 is greater than the ratio 5:6. So the answer is:
The ratio of 16:18 is greater than the ratio of 5:6.