Question

simplify.
\\(\frac{45wx}{81wx}\\)

Explanation:

Step1: Cancel common factors

First, factor the numerator and the denominator. The numerator is \(45wx\) and the denominator is \(81wx\). We can factor out the greatest common factor (GCF) of 45 and 81, which is 9. Also, the variables \(w\) and \(x\) are common in both the numerator and the denominator.

So, we can rewrite the fraction as:
\[
\frac{45wx}{81wx} = \frac{9 \times 5 \times w \times x}{9 \times 9 \times w \times x}
\]

Now, cancel out the common factors. The 9 in the numerator and denominator cancels, the \(w\) cancels, and the \(x\) cancels. This leaves us with:
\[
\frac{5}{9}
\]

Answer:

\(\frac{5}{9}\)