Question

divide. write your answer in simplest form. \\(\frac{2v - 1}{4v^2} \div (2v - 1)\\)

Explanation:

Step1: Convert division to multiplication

To divide by a number, we multiply by its reciprocal. So, $\frac{2v - 1}{4v^2} \div (2v - 1)$ becomes $\frac{2v - 1}{4v^2} \times \frac{1}{2v - 1}$.

Step2: Cancel common factors

The factor $(2v - 1)$ appears in both the numerator and the denominator, so we can cancel them out. This leaves us with $\frac{1}{4v^2}$.

Answer:

$\frac{1}{4v^2}$