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Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \fra...

Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)

A.

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

B.

\(\frac{7}{10}\)

C.

\(\frac{6}{6}\)

D.

\(\frac{21}{6}\)

Correct answer is B

\(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\\
=\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \times \frac{9}{4}\right)\\
=\frac{3}{5} \div \frac{6}{7}\\
=\frac{3}{5} \times \frac{7}{6}\\
=\frac{7}{10}\)