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JAMB Mathematics 2015 Paper

Question : 2

Total: 61

Simplify 1¼ ÷ (2 ÷ ¼ of 28)

Solution:

Concept:

Use BODMAS; "of" means multiplication, so simplify inside the bracket first.

Explanation:

Rewrite the mixed number as an improper fraction:

1\frac14 = \frac54

Inside the bracket, "

\frac14

of 28" means

\frac14 \times 28 = 7

So the bracket becomes

2 \div 7 = \frac27

The expression is now

\frac54 \div \frac27

Dividing by a fraction is the same as multiplying by its reciprocal:

\frac54 \times \frac72 = \frac{35}{8}

Convert to a mixed number:

\frac{35}{8} = 4\frac38

Answer:

4\frac38

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