Question

subtract.
\\(\frac{19x - 3}{9x} - \frac{7x}{9x}\\)
simplify your answer as much as possible.

Explanation:

Step1: Subtract numerators (same denominator)

Since the denominators are both \(9x\), we subtract the numerators: \((19x - 3)-7x\).

Step2: Simplify the numerator

Simplify \((19x - 3)-7x = 19x - 7x - 3 = 12x - 3\). So the expression becomes \(\frac{12x - 3}{9x}\).

Step3: Factor numerator and simplify

Factor out 3 from the numerator: \(12x - 3 = 3(4x - 1)\). Then \(\frac{3(4x - 1)}{9x}=\frac{4x - 1}{3x}\) (divide numerator and denominator by 3).

Answer:

\(\frac{4x - 1}{3x}\)