Question

subtract.
\\(\frac{5}{4b} - \frac{5}{6b}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find common denominator

The least common denominator of $4b$ and $6b$ is $12b$.

Step2: Rewrite fractions with LCD

$$\frac{5}{4b} = \frac{5 \times 3}{12b} = \frac{15}{12b}, \quad \frac{5}{6b} = \frac{5 \times 2}{12b} = \frac{10}{12b}$$

Step3: Subtract the fractions

$$\frac{15}{12b} - \frac{10}{12b} = \frac{15 - 10}{12b}$$

Step4: Simplify numerator

$$\frac{5}{12b}$$

Answer:

$\frac{5}{12b}$