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Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)


Question

Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)

Options

A) 1\(\frac{3}{4}\)

B) -1

C) 1\(\frac{3}{10}\)

D) 1

E) 1\(\frac{9}{10}\)

The correct answer is D.

Explanation:

3 - 2 \(\div\) (\(\frac{4}{5}\)) + \(\frac{1}{2}\)
3 - (2 x \(\frac{5}{4}\)) + \(\frac{1}{2}\) = 3 - \(\frac{10}{4}\) + \(\frac{1}{2}\)
= 3 - \(\frac{5}{2}\) + \(\frac{1}{2}\)
= \(\frac{6 - 5 + 1}{2}\)
= \(\frac{2}{2}\)
= 1

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Dicussion (1)

  • 3 - 2 \(\div\) (\(\frac{4}{5}\)) + \(\frac{1}{2}\)
    3 - (2 x \(\frac{5}{4}\)) + \(\frac{1}{2}\) = 3 - \(\frac{10}{4}\) + \(\frac{1}{2}\)
    = 3 - \(\frac{5}{2}\) + \(\frac{1}{2}\)
    = \(\frac{6 - 5 + 1}{2}\)
    = \(\frac{2}{2}\)
    = 1

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