Question

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

Answer 1

`(x)/(y) = \left((x)/(y) \right)\cdot 1 = \left((x)/(y)\right)\cdot \left((m)/(m) \right) = ((x)/(m) )/((y)/(m) )`

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 = (x)/(m)` and
`q = (y)/(m)`, where
`p`,
`q`
`\in \mathbb{Z}`. Then, we have the following expression:

`(x)/(y) = \left((x)/(y) \right)\cdot 1 = \left((x)/(y)\right)\cdot \left((m)/(m) \right) = ((x)/(m) )/((y)/(m) )`