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simplify the fraction to lowest terms. write the answer as a fraction o…

Question

simplify the fraction to lowest terms. write the answer as a fraction or an integer.

\\(-\frac{70}{110}\\)

  • \\(-\frac{7}{11}\\)
  • \\(\frac{7}{11}\\)
  • \\(\frac{7}{110}\\)
  • \\(-\frac{7}{110}\\)

Explanation:

Identify the given fraction and its sign

$$ -\frac{70}{110} $$

Find the greatest common divisor of the numerator and denominator

$$ \gcd(70, 110) = 10 $$

Divide both numerator and denominator by their greatest common divisor

$$ -\frac{70 \div 10}{110 \div 10} = -\frac{7}{11} $$

Answer:

  • (A) \(-\frac{7}{11}\) (Correct answer)
  • (B) \(\frac{7}{11}\)
  • (C) \(\frac{7}{110}\)
  • (D) \(-\frac{7}{110}\)