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10. simplify \\(\\frac{x}{9} - \\frac{2x}{9}\\) options: - \\( -\\frac{…

Question

  1. simplify

\\(\frac{x}{9} - \frac{2x}{9}\\)
options:

  • \\( -\frac{x}{9} \\)
  • \\( -x \\)
  • \\( \frac{x}{9} \\)
  • \\( -\frac{x}{18} \\)

Explanation:

Step1: Identify common denominator

The fractions $\frac{x}{9}$ and $\frac{2x}{9}$ share the denominator 9.

Step2: Subtract numerators

Subtract the numerators: $x - 2x = -x$.

Step3: Combine into one fraction

Place the result over the common denominator: $\frac{-x}{9} = -\frac{x}{9}$.

Answer:

$-\frac{x}{9}$