Question

subtract.
\\(\frac{4}{x} - \frac{5}{7}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find common denominator

The common denominator of $x$ and $7$ is $7x$.

Step2: Rewrite fractions with common denominator

$$\frac{4}{x} = \frac{4 \times 7}{7x} = \frac{28}{7x}, \quad \frac{5}{7} = \frac{5 \times x}{7x} = \frac{5x}{7x}$$

Step3: Subtract the fractions

$$\frac{28}{7x} - \frac{5x}{7x} = \frac{28 - 5x}{7x}$$

Answer:

$\frac{28 - 5x}{7x}$