To solve the given problem, we need to multiply the two fractions \(\frac{p}{q}\) and \(\frac{r}{s}\).
Here are the steps for multiplying fractions:
1. Identify the numerators and denominators:
- In the fraction \(\frac{p}{q}\), \(p\) is the numerator, and \(q\) is the denominator.
- In the fraction \(\frac{r}{s}\), \(r\) is the numerator, and \(s\) is the denominator.
2. Multiply the numerators together:
- Multiply \(p\) and \(r\). The result is \(p \cdot r\).
3. Multiply the denominators together:
- Multiply \(q\) and \(s\). The result is \(q \cdot s\).
4. Combine the results:
- Place the product of the numerators over the product of the denominators to form the new fraction.
Hence, the multiplication of \(\frac{p}{q} \cdot \frac{r}{s}\) is:
[tex]\[
\frac{p}{q} \cdot \frac{r}{s} = \frac{p \cdot r}{q \cdot s}
\][/tex]
So, the final result is:
[tex]\[
\frac{p \cdot r}{q \cdot s}
\][/tex]
