Question

If m is a common divisor of x and y, then x/y = (x ÷ k)/______

Answer 1

Answer:

$\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }$

Step-by-step explanation:

The common divisor is the greatest natural number so that two or more natural numbers have no remainder. If $m$ is a common divisor of $x$ and $y$, then $p = \frac{x}{m}$ and $q = \frac{y}{m}$, where $p$, $q$ $\in \mathbb{Z}$. Then, we have the following expression:

$\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }$