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simplify frac 3 5 div frac 2 7 x frac 4 3 div f... - JAMB Mathematics 2007 Question

simplify \(\frac{3}{5}\) \(\div\) (\(\frac{2}{7}\) x \(\frac{4}{3}\) \(\div\) \(\frac{4}{9}\))
A
\(\frac{6}{7}\)
B
\(\frac{4}{5}\)
C
\(\frac{7}{10}\)
D
\(\frac{21}{6}\)
correct option: c

(\frac{3}{5}) (\div) ((\frac{2}{7}) x (\frac{4}{3}) (\div) (\frac{4}{9})) = (\frac{2}{3}) (\div) ((\frac{2}{7}) x (\frac{4}{3}) x (\frac{9}{4}))

= (\frac{3}{5}) (\div) (\frac{6}{7})

= (\frac{3}{5}) x (\frac{7}{6})

= (\frac{7}{10})

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