Question

9 = \frac{3}{w}
simplify your answer as much as possible.
w = \square

Explanation:

Step1: Cross - multiply to eliminate the fraction

Given the equation \(9=\frac{3}{w}\), we can cross - multiply. Cross - multiplying means multiplying both sides of the equation by \(w\) (assuming \(w
eq0\)) to get \(9\times w = 3\). So, \(9w = 3\).

Step2: Solve for \(w\)

To solve for \(w\), we divide both sides of the equation \(9w = 3\) by \(9\). Using the formula \(w=\frac{3}{9}\), and simplifying the fraction \(\frac{3}{9}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So, \(\frac{3\div3}{9\div3}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)