Compare Ratios Practice
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Question
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)
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To compare the ratios 5:9 and 3:6, we can simplify each ratio first.
For the ratio 5:9:
Dividing both numbers in the ratio by the greatest common factor (GCF) of 5 and 9, which is 1, we get:
5 ÷ 1 : 9 ÷ 1
So the simplified ratio is 5:9.
For the ratio 3:6:
Dividing both numbers in the ratio by the GCF of 3 and 6, which is 3, we get:
3 ÷ 3 : 6 ÷ 3
So the simplified ratio is 1:2.
Comparing the simplified ratios, 5:9 and 1:2, we can see that they are not equal.
To compare the ratios 5:9 and 3:6, you need to find equivalent ratios for each ratio.
For the ratio 5:9:
Divide both numbers by their greatest common factor, which is 1:
5 ÷ 1 = 5
9 ÷ 1 = 9
So, the equivalent ratio for 5:9 is 5:9.
For the ratio 3:6:
Divide both numbers by their greatest common factor, which is 3:
3 ÷ 3 = 1
6 ÷ 3 = 2
So, the equivalent ratio for 3:6 is 1:2.
Now, you can compare the two equivalent ratios:
5:9 vs 1:2
Since the two ratios are not equal, you can conclude that 5:9 is not equal to 3:6.
To compare the ratios 5:9 and 3:6, we can check if they are equivalent.
First, let's simplify the ratios to their simplest form.
For the ratio 5:9, we can divide both numbers by their greatest common divisor, which is 1 in this case. So the simplified ratio is also 5:9.
For the ratio 3:6, we can divide both numbers by their greatest common divisor, which is 3 in this case. So 3 divided by 3 is 1 and 6 divided by 3 is 2. Therefore, the simplified ratio is 1:2.
Now we can compare the simplified ratios.
The simplified ratio 5:9 is not equal to the simplified ratio 1:2.
So, the answer to the question "Use the given tables to compare the ratios 5:9 and 3:6" is that the ratios are not equivalent.