frac frac 2 3 div frac 4 5 frac 1 4 frac 3 5 - ... - JAMB Mathematics 2019 Question

\(\frac{\frac{2}{3} \div \frac{4}{5}}{\frac{1}{4} + \frac{3}{5} - \frac{1}{3}}\)

\(\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4}\)

= \(\frac{5}{6}\)

\(\frac{1}{4} + \frac{3}{5} - \frac{1}{3} = \frac{15 + 36 - 20}{60}\)

= \(\frac{31}{60}\)

\(\therefore \frac{\frac{2}{3} \div \frac{4}{5}}{\frac{1}{4} + \frac{3}{5} - \frac{1}{3}} = \frac{5}{6} \div \frac{31}{60}\)

= \(\frac{5}{6} \times \frac{60}{31}\)

= \(\frac{50}{31}\)