Answer:
The fraction is a proper fraction (and irreducible)
Step-by-step explanation:
Given
[tex]x = Numerator[/tex]
[tex]y = Denominator[/tex]
[tex]Common\ factor = 1[/tex]
Required
The type of fraction
A fraction with the given features is a proper fraction and cannot be further reduced.
Take for instance:
[tex]x = 2[/tex]
[tex]y = 7[/tex]
The only common factor between [tex]2\ and\ 7[/tex] is 1
[tex]\frac{x}{y} = \frac{2}{7}[/tex]
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.)
