Question

A ratio of 4 to 5 may be written as all of the following except:

4:5
4/5
8/10
5/4
16/20

Answer 1

5/4

Explanation:

A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.

• 4 to 5 can be written as 4:5.
• 4 to 5 can also be written as 4/5 or
  `(4)/(5)`.
• 4 to 5 can also be written as
  `(8)/(10)` because when 8 and 10 are divided by 2 you get
  `(4)/(5)`.
• 4 to 5 can also be written as
  `(16)/(20)` because when 16 and 20 are divided by 4 you get
  `(4)/(5)`.
• 4 to 5 cannot be written as 5/4 because
  `(5)/(4) or 5:4` is 5 to 4 NOT 4 to 5. Additionally, the complex fractions above cannot be simplified into 5/4.

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