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JAMB Mathematics 2017 Paper

Question : 44

Total: 44

\frac{1}{5}

\frac{2}{3}

\frac{2}{3}

)

Solution:

Concept:

Use the order of operations and convert mixed fractions to improper fractions before simplifying.

Explanation:

Convert

1\frac{2}{3}

to an improper fraction:

1\frac{2}{3} = \frac{5}{3}

Replace it in the expression:

1 - \left(\frac{1}{5} \times \frac{5}{3}\right) + \left(5 + \frac{5}{3}\right)

Simplify the multiplication:

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

Simplify the addition:

5 + \frac{5}{3} = \frac{15}{3} + \frac{5}{3} = \frac{20}{3}

Now evaluate:

1 - \frac{1}{3} + \frac{20}{3} = \frac{3}{3} - \frac{1}{3} + \frac{20}{3} = \frac{22}{3}

Answer:

\frac{22}{3}

So the correct option is C.

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