Question

subtract.
\\(\frac{a - 5x}{3a} - \frac{4a - 7x}{3a}\\)
simplify your answer as much as possible.

Explanation:

Step1: Combine fractions over common denominator

$\frac{(a - 5x) - (4a - 7x)}{3a}$

Step2: Distribute the negative sign

$\frac{a - 5x - 4a + 7x}{3a}$

Step3: Combine like terms (a terms)

$\frac{(a - 4a) + (-5x + 7x)}{3a} = \frac{-3a + 2x}{3a}$

Step4: Split the fraction (optional simplification)

$\frac{-3a}{3a} + \frac{2x}{3a} = -1 + \frac{2x}{3a}$

Answer:

$\frac{-3a + 2x}{3a}$ or equivalently $-1 + \frac{2x}{3a}$