Question

What type of number can be written as an a fraction a/b where a and b are Integres and b is not equal to zero?

Answer 1

Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.

Explanation:

The following subset of the real number system can be written in the form
`(a)/(b)`, b≠0.

Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as
`(5)/(1)`

Terminating Decimals: These are fractions that when converted to decimal numbers have an end.

e.g.
`(5)/(2)=2.5`

Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.

e.g.
`(8)/(11)=0.727272...=0.\overline{72}`

Proper Fractions: These are fractions of the form
`(a)/(b)` where a<b. An examples is
`(4)/(5)`

Improper Fractions: These are fractions of the form
`(a)/(b)` where a>b. An examples is
`(5)/(4)`