Use the given tables to compare the ratios 5:9 and 3:6 . 5 9 10 18 15 27 20 36 25 45 3 6 6 12 9 18 12 24 15 30(1 point) $$
To compare the ratios 5:9 and 3:6, we need to find equivalent ratios for both and see if they are equal.
Given table for 5:9:
5 -> 10 -> 15 -> 20 -> 25
9 -> 18 -> 27 -> 36 -> 45
Given table for 3:6:
3 -> 6 -> 9 -> 12 -> 15
6 -> 12 -> 18 -> 24 -> 30
Since the tables show equivalent ratios for both ratios, we can conclude that 5:9 is equal to 3:6.
To compare the given ratios 5:9 and 3:6, we can simplify them by finding the greatest common divisor (GCD) of the numerators and denominators.
For the ratio 5:9,
GCD(5, 9) = 1
Therefore, the simplified form of the ratio 5:9 is 5/1:9/1, which is equivalent to 5:9.
For the ratio 3:6,
GCD(3, 6) = 3
Therefore, the simplified form of the ratio 3:6 is 3/3:6/3, which is equivalent to 1:2.
Comparing the ratios 5:9 and 3:6, we have:
Ratio 5:9 is equivalent to 5:9.
Ratio 3:6 is equivalent to 1:2.
Since 5:9 is not equal to 1:2, we can conclude that the ratios are not equal.
To compare the ratios 5:9 and 3:6, we can use the given tables.
First, let's find the corresponding values in the tables for each ratio:
For the ratio 5:9, we have:
5 - 10 - 15 - 20 - 25 (in the first table)
9 - 18 - 27 - 36 - 45 (in the first table)
For the ratio 3:6, we have:
3 - 6 - 9 - 12 - 15 (in the second table)
6 - 12 - 18 - 24 - 30 (in the second table)
Now, let's compare the corresponding values for each position:
For the first position, 5 and 3, we can see that 5 is greater than 3.
For the second position, 10 and 6, we can see that 10 is greater than 6.
For the third position, 15 and 9, we can see that 15 is greater than 9.
For the fourth position, 20 and 12, we can see that 20 is greater than 12.
For the fifth position, 25 and 15, we can see that 25 is greater than 15.
Therefore, we can conclude that in each corresponding position, the first ratio (5:9) is greater than the second ratio (3:6).