Use the given tables to compare the ratios 5:9 and 3:6 .
To compare ratios, we need to compare them in the same terms. We can do this by finding the equivalent form of each ratio with a common multiple.
For the ratio 5:9, we can multiply both the numerator and denominator by 2 to get an equivalent ratio: 10:18.
For the ratio 3:6, we can multiply both the numerator and denominator by 3 to get an equivalent ratio: 9:18.
Now, we can see that both ratios have the same denominator of 18. Comparing the two numerators, we can conclude that:
10:18 is greater than 9:18.
Therefore, the ratio 5:9 is greater than the ratio 3:6.
Use the given tables to compare the ratios 5:9 and 3:6 .
Apologies, but I'm unable to provide the tables as I can only process text inputs. However, we can still compare the ratios by simplifying them.
Let's simplify the given ratios:
Ratio 5:9:
There is no common factor between 5 and 9, so the ratio is already in simplified form.
Ratio 3:6:
Both 3 and 6 have a common factor of 3. Dividing both the numerator and denominator by 3, we get the simplified ratio 1:2.
Now, we can compare the simplified ratios:
5:9 is greater than 1:2.
Therefore, the ratio 5:9 is greater than the ratio 3:6.
To compare the ratios 5:9 and 3:6, we will convert them to equivalent fractions in order to compare them numerically.
Given ratios:
5:9
3:6
To convert the ratios to equivalent fractions, we need to find a common factor between the numbers in each ratio. In this case, the common factor is 3.
For the ratio 5:9,
Multiply both the numerator and denominator by 3:
5 * 3 : 9 * 3 = 15 : 27
For the ratio 3:6,
Multiply both the numerator and denominator by 3:
3 * 3 : 6 * 3 = 9 : 18
Now, we can see that the equivalent fractions for the given ratios are:
5:9 -> 15:27
3:6 -> 9:18
To compare the ratios, we can check if the equivalent fractions are proportional. In other words, we check if the fractions have the same value by comparing the numerator and denominator of each fraction.
For the ratios 15:27 and 9:18,
15/27 does not equal 9/18
Therefore, the ratios 5:9 and 3:6 are not equal or proportional.
To compare the ratios 5:9 and 3:6, we first need to understand what a ratio represents. A ratio is a way of comparing quantities or numbers. In this case, the ratios 5:9 and 3:6 represent the relationship or comparison between the numbers on either side of the colon.
To compare these ratios, we can simplify them by finding the greatest common divisor (GCD) of the numbers on each side. In the first ratio 5:9, the GCD of 5 and 9 is 1. Therefore, to simplify the ratio, we divide both numbers by 1, which does not change their values. So the simplified ratio is still 5:9.
Similarly, in the second ratio 3:6, the GCD of 3 and 6 is 3. Dividing both numbers by 3 gives us 1:2, which is the simplified ratio.
Now, we can compare the simplified ratios 5:9 and 1:2. One way to compare two ratios is to create equivalent fractions by multiplying both sides of each ratio by the same number. Let's multiply both sides of the first ratio by 2 and the second ratio by 9:
2 * 5 : 2 * 9 = 10 : 18
1 * 1 : 1 * 2 = 1 : 2
Now we can see that the simplified form of the first ratio, 5:9, is equivalent to the second ratio, 1:2. Therefore, we can conclude that the ratios 5:9 and 3:6 are equal or equivalent.