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you are leading a new employee training at work. there are \\(2\\frac{1…

Question

you are leading a new employee training at work. there are \\(2\frac{1}{2}\\) hours left in the training and you have 4 more topics to cover.

evaluate the expression to determine how much time you have for each topic:

\\(2\frac{1}{2} \div 4\\)

  • \\(\frac{7}{8}\\) hours
  • \\(\frac{5}{8}\\) hours
  • \\(\frac{3}{5}\\) hours
  • \\(\frac{2}{3}\\) hours

Explanation:

Convert the mixed number to an improper fraction

$$ 2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} $$

Divide the fraction by the whole number

$$ \frac{5}{2} \div 4 = \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} $$

Answer:

  • (A) \(\frac{7}{8}\) hours
  • (B) \(\frac{5}{8}\) hours (Correct answer)
  • (C) \(\frac{3}{5}\) hours
  • (D) \(\frac{2}{3}\) hours