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

User Mbrcknl
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1 Answer

6 votes

Answer:


(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) )

User Ian Warner
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