Use the given tables to compare the ratios and . Which ratio is greater?
8 9
16 18
24 27
32 36
5 6
10 12
15 18
20 24
(1 point)
16 : 18 5 : 6
The two ratios are equal.
More rows need to be added to the tables to be able to compare the ratios.
16 : 18 is greater.
5 : 6 is greater
To compare the ratios, we can divide the second number in each ratio by the first number.
For the first ratio, 8:9, 9 divided by 8 is approximately 1.125.
For the second ratio, 16:18, 18 divided by 16 is approximately 1.125.
Both ratios result in approximately 1.125. Therefore, the two ratios are equal.
To compare the ratios, we can simplify each ratio by dividing both numbers by their greatest common factor (GCF). Let's simplify the ratios:
8 : 9 simplifies to 8/1 : 9/1 which is equal to 8 : 9
16 : 18 simplifies to 16/2 : 18/2 which is equal to 8 : 9
24 : 27 simplifies to 24/3 : 27/3 which is equal to 8 : 9
32 : 36 simplifies to 32/4 : 36/4 which is equal to 8 : 9
5 : 6 simplifies to 5/1 : 6/1 which is equal to 5 : 6
10 : 12 simplifies to 10/2 : 12/2 which is equal to 5 : 6
15 : 18 simplifies to 15/3 : 18/3 which is equal to 5 : 6
20 : 24 simplifies to 20/4 : 24/4 which is equal to 5 : 6
From the above simplifications, we can see that all the ratios are equal to 8 : 9 or 5 : 6. Therefore, the two ratios are equal.
To compare the ratios, we will compare each pair of values in the tables and simplify them to their simplest form. Let's take a look at the given tables:
Table 1:
8 9
16 18
24 27
32 36
Table 2:
5 6
10 12
15 18
20 24
Let's simplify the ratios and compare them:
Ratio from Table 1: 16 : 18
Both numbers can be divided by 2, resulting in the simplified ratio: 8 : 9
Ratio from Table 2: 5 : 6
Both numbers can also be divided by 5, resulting in the simplified ratio: 1 : 6
Now, we can compare the simplified ratios.
The simplified ratio 8 : 9 is greater than the simplified ratio 1 : 6.
Therefore, the ratio 16 : 18 is greater than the ratio 5 : 6.