Use the given tables to compare the ratios 16:18 and 5:6 . Which ratio is greater? 8 9 16 18 24 27 32 36 5 6 10 12 15 18 20 24
To compare the ratios 16:18 and 5:6, we can simplify both ratios by dividing both terms of each ratio by their greatest common divisor.
For the ratio 16:18, we can simplify it by dividing both terms by 2: 16 ÷ 2 = 8, 18 ÷ 2 = 9. Therefore, the simplified ratio is 8:9.
For the ratio 5:6, there are no common factors to simplify it further.
Comparing the simplified ratios, 8:9 is greater than 5:6.
answer for non simplified.
To compare the ratios 16:18 and 5:6, we can cross-multiply to determine which ratio is greater.
For the ratio 16:18, cross-multiplying gives us 16 * 6 = 96 and 18 * 5 = 90.
For the ratio 5:6, cross-multiplying gives us 5 * 18 = 90 and 6 * 16 = 96.
Therefore, the product of the cross-multiplication for both ratios is the same, which means the ratios are equal. Therefore, 16:18 is equal to 5:6.
are you sure?
Apologies for the previous incorrect response. Let's compare the ratios without simplifying them.
For the ratio 16:18, cross-multiplying gives us 16 * 6 = 96 and 18 * 5 = 90.
For the ratio 5:6, cross-multiplying gives us 5 * 18 = 90 and 6 * 16 = 96.
As we can see, the cross-products for both ratios are different. 96 is greater than 90. Therefore, the ratio 16:18 is greater than the ratio 5:6.
To compare the ratios 16:18 and 5:6, we need to find their equivalent ratios by multiplying both terms of each ratio by the same number.
For 16:18:
We can find an equivalent ratio by multiplying both terms by 2.
16 * 2 = 32
18 * 2 = 36
So, the equivalent ratio for 16:18 is 32:36.
For 5:6:
We can find an equivalent ratio by multiplying both terms by 6.
5 * 6 = 30
6 * 6 = 36
So, the equivalent ratio for 5:6 is 30:36.
Now, we can compare the two equivalent ratios:
32:36 vs 30:36
Since the second term is the same for both ratios (36), we can compare the first terms:
32 vs 30
From the comparison, we can see that 32 is greater than 30.
Therefore, the ratio 16:18 is greater than the ratio 5:6.
To compare the ratios 16:18 and 5:6, we can simplify each ratio to its simplest form and then compare them.
Let's simplify the first ratio, 16:18:
To simplify a ratio, we need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by it.
The GCD of 16 and 18 is 2.
Dividing 16 and 18 by 2, we get:
16 ÷ 2 = 8
18 ÷ 2 = 9
So, the simplified form of 16:18 is 8:9.
Now, let's simplify the second ratio, 5:6:
The GCD of 5 and 6 is 1.
Dividing 5 and 6 by 1, we get:
5 ÷ 1 = 5
6 ÷ 1 = 6
So, the simplified form of 5:6 is 5:6.
Comparing the simplified ratios, we see that 8:9 is greater than 5:6.
Therefore, the ratio 16:18 is greater than 5:6.