What is the simplest ratio of 65 units to 80 units?

What is the simplest ratio of 65 units to 80 units?

• A. 8:10
• B. 13:16
• C. 65:80
• D. 5:6

Answer: (B)

When you want the simplest ratio, you divide both numbers by their greatest common factor. 65 and 80 share a factor of 5, so dividing both by 5 gives 65 ÷ 5 = 13 and 80 ÷ 5 = 16. Since 13 and 16 have no other common factors, the ratio is 13:16, which is the simplest form. Therefore, 65 units to 80 units reduces to 13:16. Other options are not equivalent or are reducible to different forms (for example, 8:10 reduces to 4:5, which is not the same as 13:16).

When you want the simplest ratio, you divide both numbers by their greatest common factor. 65 and 80 share a factor of 5, so dividing both by 5 gives 65 ÷ 5 = 13 and 80 ÷ 5 = 16. Since 13 and 16 have no other common factors, the ratio is 13:16, which is the simplest form. Therefore, 65 units to 80 units reduces to 13:16. Other options are not equivalent or are reducible to different forms (for example, 8:10 reduces to 4:5, which is not the same as 13:16).