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which statement correctly describe \\(\\frac{5}{6}\\)? choose more than…

Question

which statement correctly describe \\(\frac{5}{6}\\)? choose more than one answer?

\\(\frac{5}{6} = \frac{3}{6} + \frac{2}{6}\\)

\\(\frac{5}{6} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5}\\)

\\(\frac{5}{6} = \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6}\\)

\\(\frac{5}{6} = \frac{3}{3} + \frac{2}{3}\\)

Explanation:

Evaluate the first statement

$$ \frac{3}{6} + \frac{2}{6} = \frac{3 + 2}{6} = \frac{5}{6} $$

Evaluate the second statement

$$ \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = 6 \times \frac{1}{5} = \frac{6}{5} eq \frac{5}{6} $$

Evaluate the third and fourth statements

$$ LATEXBLOCK0 $$

Answer:

  • (A) \(\frac{5}{6} = \frac{3}{6} + \frac{2}{6}\) (Correct answer)
  • (B) \(\frac{5}{6} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5}\)
  • (C) \(\frac{5}{6} = \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6}\) (Correct answer)
  • (D) \(\frac{5}{6} = \frac{3}{3} + \frac{2}{3}\)