Compare Ratios Quick Check
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Question
Use the given tables to compare the ratios 16:18 and 5:6. Which ratio is greater?
8 9
16 18
24 27
32 36
5 6
10 12
15 18
20 24(1 point)
Responses
The two ratios are equal.
The two ratios are equal.
16:18 is greater.
ratio of 16 to 18 is greater.
More rows need to be added to the tables to be able to compare the ratios.
More rows need to be added to the tables to be able to compare the ratios.
5:6 is greater.
ratio of 5 to 6 is greater.
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The ratio 16:18 is greater than the ratio 5:6.
To compare the ratios 16:18 and 5:6, we can cross-multiply the ratios and compare the products.
For the ratio 16:18:
Cross-multiplying, we get 16 * 6 = 96 and 18 * 5 = 90.
For the ratio 5:6:
Cross-multiplying, we get 5 * 18 = 90 and 6 * 16 = 96.
Comparing the products, we can see that 96 is greater than 90. Therefore, the ratio 16:18 is greater than the ratio 5:6.
To compare the ratios 16:18 and 5:6, we need to determine which ratio is greater.
Looking at the given table:
8 9
16 18
24 27
32 36
5 6
10 12
15 18
20 24
We can see that both 16 and 18 are in the same column, and both 5 and 6 are in the same column. This means we can compare the ratios directly.
The ratio 16:18 can also be simplified to 8:9, and the ratio 5:6 cannot be simplified further.
Comparing the simplified ratios, we can see that 8:9 is greater than 5:6.
Therefore, the ratio 16:18 is greater than the ratio 5:6.