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Simplify frac 3 5 div left frac 2 7 times frac ... - JAMB Mathematics 2007 Question

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