Question

find a common factor of 6 and 8.
i can divide both 6 and 8 by 2.
\\(\frac{6\div2}{8\div2}=\frac{3}{4}\\)
\\(\frac{6}{8}\\) is equivalent to \\(\frac{3}{4}\\).
key idea
how do i know if a fraction can be simplified?
a fraction ? be simplified if the numerator and denominator share a common factor.

Explanation:

Step1: Recall fraction simplification rule

A fraction can be simplified when numerator and denominator have a common factor (other than 1).

Step2: Analyze the context

From the example, \(\frac{6}{8}\) is simplified by dividing numerator and denominator by their common factor 2. So the blank should be filled with "can" because the condition (sharing a common factor) allows simplification.

Answer:

can