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

Answer:

The fraction is a proper fraction (and irreducible)

Step-by-step 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

$\frac{x}{y} = \frac{2}{7}$

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.)