Question

subtract. write the answer as a fraction in lowest terms or as an integer.

\\(\frac{x}{9y} - \frac{7x}{9y}\\)

• \\(\frac{2}{3y}\\)
• \\(\frac{2x}{3y}\\)
• \\(-\frac{2}{3y}\\)
• \\(-\frac{2x}{3y}\\)

Explanation:

Subtract the numerators over the common denominator

$$ \frac{x}{9y} - \frac{7x}{9y} = \frac{x - 7x}{9y} = \frac{-6x}{9y} $$

Simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor

$$ \frac{-6x}{9y} = \frac{-2x \cdot 3}{3y \cdot 3} = -\frac{2x}{3y} $$

Answer:

• (A) \(\frac{2}{3y}\)
• (B) \(\frac{2x}{3y}\)
• (C) \(-\frac{2}{3y}\)
• (D) \(-\frac{2x}{3y}\) (Correct answer)