Question

If a/b and c/d are rational expressions, then what is a/b•c/d = a/b•c/b

Answer 1

Given:

$\frac{A}{B} \text { and } \frac{C}{D}$ are rational expressions.

$\frac{A}{B} \cdot \frac{C}{D}=\frac{A \cdot D}{B \cdot C}$

To find:

The given statement is true or false.

Solution:

$\frac{A}{B} \text { and } \frac{C}{D}$ are rational expressions.

$\frac{A}{B} \cdot \frac{C}{D}$

Multiply the numerators and multiply the denominators.

$\frac{A}{B} \cdot \frac{C}{D}=\frac{A \cdot C}{B \cdot D}$

It is the correct answer.

Therefore, $\frac{A}{B} \cdot \frac{C}{D}=\frac{A \cdot D}{B \cdot C}$ is false.