The value of \(\frac{\left(\frac{18}{3}+\frac{17}{8}\text{ of…

2024

The value of \(\frac{\left(\frac{18}{3}+\frac{17}{8}\text{ of }\frac{8}{3}\right)}{\left(15-\frac{18}{8}\div\frac{3}{8}\right)}\) is

Answer: A. \(\frac{35}{27}\)Evaluate the numerator: \(\frac{18}{3}=6\) and \(\frac{17}{8}\) of \(\frac{8}{3}\) means \(\frac{17}{8}\times\frac{8}{3}=\frac{17}{3}\), giving…

  1. A.

    \(\frac{35}{27}\)

  2. B.

    \(\frac{30}{30}\)

  3. C.

    \(\frac{34}{35}\)

  4. D.

    \(\frac{33}{35}\)

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Correct answer: A

Evaluate the numerator: \(\frac{18}{3}=6\) and \(\frac{17}{8}\) of \(\frac{8}{3}\) means \(\frac{17}{8}\times\frac{8}{3}=\frac{17}{3}\), giving \(6+\frac{17}{3}=\frac{35}{3}\). Evaluate the denominator: \(\frac{18}{8}\div\frac{3}{8}=\frac{18}{8}\times\frac{8}{3}=6\), giving \(15-6=9\). The expression is \(\frac{35/3}{9}=\frac{35}{27}\).

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