Question 9

Jambmaths question: 

$\frac{\tfrac{2}{3}\div \tfrac{4}{5}}{\tfrac{1}{4}+\tfrac{3}{5}-\tfrac{1}{3}}$

Option A: 

$\frac{31}{50}$

Option B: 

$\frac{20}{31}$

Option C: 

$\frac{31}{20}$

Option D: 

$\frac{50}{31}$

Jamb Maths Solution: 

$\frac{\tfrac{2}{3}\div \tfrac{4}{5}}{\tfrac{1}{4}+\tfrac{3}{5}-\tfrac{1}{3}}=\frac{\tfrac{2}{3}\times \tfrac{4}{5}}{\tfrac{15+36-20}{60}}=\frac{\tfrac{8}{15}}{\tfrac{31}{60}}=\frac{8}{15}\times \frac{60}{31}=\frac{32}{31}$

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