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

5 answers

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.