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 Responses More rows need to be added to the tables to be able to compare the ratios. More rows need to be added to the tables to be able to compare the ratios. - no response given 16:18 is greater. ratio of 16 to 18 is greater. - no response given 5:6 is greater. ratio of 5 to 6 is greater. - no response given The two ratios are equal.

Answer 1

To determine which ratio is greater between 16:18 and 5:6, we can simplify both ratios.

Simplifying the Ratios:

1. Ratio 16:18

   • Divide both numbers by their greatest common divisor.
   • The GCD of 16 and 18 is 2.
   • So, 16 ÷ 2 = 8 and 18 ÷ 2 = 9.
   • Therefore, 16:18 simplifies to 8:9.

2. Ratio 5:6

   • This ratio is already in its simplest form.

Comparing the Ratios:

Now, we can compare 8:9 and 5:6.

To compare, we can convert both ratios into decimal form:

• 8:9 = 8 ÷ 9 ≈ 0.888...
• 5:6 = 5 ÷ 6 ≈ 0.833...

Conclusion:

Since 0.888... is greater than 0.833..., we can conclude that:

The ratio 16:18 is greater than the ratio 5:6.