{ 2/3 ÷ 4/5 }{ 1/4 + 3/5 - 1/3 }

Correct Answer is : 503150/313150

Correct Answer is : 503150/313150

Test Index

JAMB Mathematics 2019 Paper

Question : 9

Total: 73

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

Solution:

Concept:

Simplify the numerator and denominator separately, then divide the two fractions.

Explanation:

Simplify the numerator:

\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}

Simplify the denominator using the lowest common denominator

60

\frac{1}{4} + \frac{3}{5} - \frac{1}{3} = \frac{15 + 36 - 20}{60} = \frac{31}{60}

Divide the two results:

\frac{\frac{5}{6}}{\frac{31}{60}} = \frac{5}{6} \div \frac{31}{60} = \frac{5}{6} \times \frac{60}{31} = \frac{50}{31}

Answer:

\frac{50}{31}

Option D.

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