Correct Answer: Option A

Explanation

\(\frac{1}{3} \div [\frac{5}{7}(\frac{9}{10} -1 + \frac{3}{4})]\)

\(\frac{1}{3} \div [\frac{5}{7}(\frac{9}{10} - \frac{10}{10} + \frac{3}{4})]\)

= \(\frac{1}{3} \div [\frac{5}{7}(\frac{-1}{10} + \frac{3}{4})]\)

= \(\frac{1}{3} \div [\frac{5}{7}(\frac{-2 + 15}{20})]\)

= \(\frac{1}{3} \div [\frac{5}{7} \times \frac{13}{20}]\)

\(\frac{1}{3} + [\frac{13}{28}]\) = \(\frac{1}{3} \times \frac{28}{13}\)

= \(\frac{28}{39}\)

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