Answer :
Answer:
[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]
Step-by-step explanation:
The common divisor is the greatest natural number so that two or more natural numbers have no remainder. If [tex]m[/tex] is a common divisor of [tex]x[/tex] and [tex]y[/tex], then [tex]p = \frac{x}{m}[/tex] and [tex]q = \frac{y}{m}[/tex], where [tex]p[/tex], [tex]q[/tex] [tex]\in \mathbb{Z}[/tex]. Then, we have the following expression:
[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]