Answer :

Final answer:

The ratios equivalent to 6:8 are 9:12, 12 to 16, and 15/20, as they can all be simplified to the ratio 3:4, which is the simplified form of 6:8.

Explanation:

To determine which of the following ratios are equivalent to 6:8, we need to simplify the given ratios or convert them to see if they have the same proportion. An equivalent ratio will have the same relationship between numbers when simplified.

The ratio 6:8 can be simplified by dividing both numbers by their greatest common divisor, which is 2, resulting in 3:4.

Now, let's compare each given ratio:

  • 24:36 can be simplified to 2:3 (by dividing by 12), so it is not equivalent.
  • 9:12 simplifies to 3:4 (by dividing by 3), so it is equivalent.
  • 12 to 16 simplifies to 3:4 (by dividing by 4), so it is equivalent.
  • 16 to 24 simplifies to 2:3 (by dividing by 8), so it is not equivalent.
  • 36/40 simplifies to 9/10 (by dividing by 4), so it is not equivalent.
  • 15/20 simplifies to 3:4 (by dividing by 5), so it is equivalent.

Therefore, the ratios that are equivalent to 6:8 are 9:12, 12 to 16, and 15/20.

Thanks for taking the time to read Which of the following ratios are equivalent to 6 8 A 24 36 B 9 12 C 12 to 16 D 16 to 24 E. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada