Use the given tables to compare the ratios 3:5 and 2:3 . 3 5 6 10 9 15 12 20 15 25 2 3 4 6 6 9 8 12 10 15 (1 point) Responses 3:5 = 2:3 ratio of 3 to 5 is equal to ratio of 2 to 3 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. 3:5 < 2:3 ratio of 3 to 5 is less than ratio of 2 to 3 3:5 > 2:3
To compare the ratios 3:5 and 2:3, we can create two equivalent ratios by multiplying both terms of each ratio by the same number.
For the first ratio, we can multiply both terms by 2 to get 6:10.
For the second ratio, we can multiply both terms by 5 to get 10:15.
Now, we can compare the two new ratios. 6:10 and 10:15 are equivalent ratios, but we can simplify them further by dividing both terms by their greatest common factor, which is 2.
6÷2 : 10÷2
= 3:5
10÷5 : 15÷5
= 2:3
Therefore, the ratios 3:5 and 2:3 are equal.
To compare the ratios 3:5 and 2:3 using the given tables, we can calculate the ratio for each set of numbers and compare them.
First, let's compare the ratio 3:5:
3/5 = 0.6
Next, let's compare the ratio 2:3:
2/3 = 0.6667
Comparing the two ratios, we can see that 3:5 is less than 2:3.
Therefore, the correct answer is:
3:5 < 2:3
To compare the ratios 3:5 and 2:3, we can create a table to see if the ratios are equal, less than or greater than each other.
Let's compare the ratios by creating a table:
Ratio 1 | Ratio 2
3 : 5
6 : 10
9 : 15
12 : 20
15 : 25
2 : 3
4 : 6
6 : 9
8 : 12
10 : 15
From this table, we can see that the two ratios are not equal. To further compare the ratios, we can simplify each ratio by dividing both sides by their greatest common divisor (GCD).
For the ratio 3:5, the GCD is 1, so the simplified ratio is still 3:5.
For the ratio 2:3, the GCD is also 1, so the simplified ratio is still 2:3.
Since the simplified ratios are the same, we can conclude that the ratios 3:5 and 2:3 are equal.