Question

a.When the numerator and the denominator have no common factor other than 1; he fraction is either a proper fraction or mixed number

Answer 1

The fraction is a proper fraction (and irreducible)

Explanation:

Given

`x = Numerator`

`y = Denominator`

`Common\ factor = 1`

Required

The type of fraction

A fraction with the given features is a proper fraction and cannot be further reduced.

Take for instance:

`x = 2`

`y = 7`

The only common factor between
`2\ and\ 7` is 1

`(x)/(y) = (2)/(7)`

See that 2/7 is a proper fraction and also 2/7 cannot be reduced (simplified)

The above logic is applicable to all fraction that have the attribute stated in the question (e.g. 3/7, 3/8, 4/9, 7/10, etc.)