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

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
3:5 > 2:3

3:5 < 2:3
ratio of 3 to 5 is less than ratio of 2 to 3

3:5 = 2:3
ratio of 3 to 5 is equal to ratio of 2 to 3
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1 answer

To compare the ratios of 3:5 and 2:3, we can convert them to their decimal forms:

  1. For the ratio 3:5: \[ \frac{3}{5} = 0.6 \]

  2. For the ratio 2:3: \[ \frac{2}{3} \approx 0.6667 \]

Now, we can compare the decimal values:

  • \(0.6\) (for 3:5) is less than \(0.6667\) (for 2:3).

Thus, we conclude that:

3:5 < 2:3

So the appropriate response is:

  • 3:5 < 2:3 (ratio of 3 to 5 is less than ratio of 2 to 3).