Question

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
ratio of 3 to 5 is equal to ratio of 2 to 3

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

3:5 > 2:3
3:5 > 2:3
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To compare the ratios 3:5 and 2:3, we need to determine whether they are equal, less than, or greater than each other. To do this, we can simplify both ratios to their simplest form.

The ratio 3:5 can be simplified by dividing both numbers by their greatest common divisor, which is 1 in this case. So, the simplified form of 3:5 is still 3:5 itself.

Similarly, the ratio 2:3 can also be simplified by dividing both numbers by their greatest common divisor, which is 1 in this case. So, the simplified form of 2:3 is still 2:3 itself.

Now, we can compare the simplified ratios:

3:5 = 2:3
This means that the ratio of 3 to 5 is equal to the ratio of 2 to 3.

Therefore, the correct response is: 3:5 = 2:3.

To compare the ratios 3:5 and 2:3, we can simplify both ratios to their simplest form.

The ratio 3:5 cannot be simplified any further.

The ratio 2:3 can be simplified by dividing both numbers by their greatest common divisor, which is 1. So, the simplified form of the ratio 2:3 is still 2:3.

Therefore, the simplified ratios are:

3:5 and 2:3.

Since these two ratios are not equal, we can conclude that 3:5 is not equivalent to 2:3.

Use the given tables to compare the ratios 3:5

and 2:3
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To compare the ratios 3:5 and 2:3, you can notice that the given tables are not necessary. You only need to compare the two ratios directly.

The ratio 3:5 can be simplified further by dividing both the numerator and the denominator by their greatest common factor, which is 1 in this case. Therefore, the simplified ratio is still 3:5.

The ratio 2:3 can also be simplified further by dividing both the numerator and the denominator by their greatest common factor, which is 1 in this case. Therefore, the simplified ratio is still 2:3.

By comparing the simplified ratios, you can conclude that:

3:5 = 2:3

So, the two ratios are equal.