Home » Past Questions » Mathematics » If 8\(\frac{x}{2}\) = (2\(\frac{3}{8}\))(4\(\frac{3}{4}\)), find x...

If 8\(\frac{x}{2}\) = (2\(\frac{3}{8}\))(4\(\frac{3}{4}\)), find x...


Question

If 8\(\frac{x}{2}\) = (2\(\frac{3}{8}\))(4\(\frac{3}{4}\)), find x

Options

A) \(\frac{3}{8}\)

B) \(\frac{3}{4}\)

C) \(\frac{4}{5}\)

D) \(\frac{5}{4}\)

The correct answer is D.

Explanation:

8\(\frac{x}{2}\) = 2\(\frac{3}{8}\)22 x \(\frac{3}{4}\) 2\(\frac{3x}{2}\)
= 2\(\frac{3}{4}\)\(\frac{3x}{2}\)
= \(\frac{15}{8}\)
\(\frac{2 \times 15}{3 \times 8}\) = \(\frac{5}{4}\)

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Dicussion (1)

  • 8\(\frac{x}{2}\) = 2\(\frac{3}{8}\)22 x \(\frac{3}{4}\) 2\(\frac{3x}{2}\)
    = 2\(\frac{3}{4}\)\(\frac{3x}{2}\)
    = \(\frac{15}{8}\)
    \(\frac{2 \times 15}{3 \times 8}\) = \(\frac{5}{4}\)

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