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WAEC Mathematics 2010 Paper

Question : 5

Total: 49

Simplify 1

\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2}

Solution:

Concept:

Follow the order of operations: multiplication before addition and subtraction.

Explanation:

Convert mixed numbers to improper fractions:

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

and

2\frac{1}{3} = \frac{7}{3}

Perform multiplication first:

\frac{7}{3} \times \frac{3}{4} = \frac{7}{4}

Now the expression becomes:

\frac{3}{2} + \frac{7}{4} - \frac{1}{2}

Use common denominator

4

\frac{6}{4} + \frac{7}{4} - \frac{2}{4} = \frac{6 + 7 - 2}{4} = \frac{11}{4}

Convert back to a mixed number:

\frac{11}{4} = 2\frac{3}{4}

Answer:

2\frac{3}{4}

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