Correct Answer: Option B

Explanation

Numerator:

  \(\frac{1}{10}\cdot\frac{2}{3} + \frac{1}{4} = \frac{1}{15} + \frac{1}{4} = \frac{4+15}{60} = \frac{19}{60}\)

Denominator:

 \(\frac{\frac{1}{2}}{\frac{3}{5}} - \frac{1}{4} = \frac{1}{2}\cdot\frac{5}{3} - \frac{1}{4} = \frac{5}{6} - \frac{1}{4} = \frac{10-3}{12} = \frac{7}{12}\)

Final:

\(\frac{19}{60} \div \frac{7}{12}\) = \(\frac{19}{60} \times \frac{12}{7}\) = \(\frac{19}{35}\)

There is an explanation video available below.

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