Evaluate {31/4 × 13/5}{111/3 - 51/3}

Correct Answer is : 131513/151513

Correct Answer is : 131513/151513

Test Index

WAEC Mathematics 2017 Paper

Question : 3

Total: 49

Evaluate

\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5\frac{1}{3}}

Solution:

Concept:

Convert mixed numbers to improper fractions, simplify, then divide.

Explanation:

Write the numerator as improper fractions.

3\frac{1}{4} = \frac{13}{4}

and

1\frac{3}{5} = \frac{8}{5}

So the numerator is

\frac{13}{4} \times \frac{8}{5} = \frac{13 \times 8}{4 \times 5} = \frac{104}{20} = \frac{26}{5}

Now simplify the denominator.

11\frac{1}{3} - 5\frac{1}{3} = \frac{34}{3} - \frac{16}{3} = \frac{18}{3} = 6

Therefore the expression becomes

\frac{\frac{26}{5}}{6} = \frac{26}{5} \div 6 = \frac{26}{5} \times \frac{1}{6} = \frac{26}{30} = \frac{13}{15}

Answer:

\frac{13}{15}

, which is option B.

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