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
\(\frac{21}{6}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\\
=\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \times \frac{9}{4}\right)\\
=\frac{3}{5} \div \frac{6}{7}\\
=\frac{3}{5} \times \frac{7}{6}\\
=\frac{7}{10}\)
Source: Myschool Past Questions Archive (Record #9239)