Simplify; 2\;1/4 × 3\;1/2 ÷ 4 \;3/8

Correct Answer is : 1 45\;4/554

Correct Answer is : 1 45\;4/554

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WAEC Mathematics 2018 Paper

Question : 5

Total: 50

Simplify; 2

\;\frac{1}{4} \times 3\;\frac{1}{2} \div 4 \;\frac{3}{8}

Solution:

Concept:

Use the BODMAS rule: handle multiplication and division from left to right.

Explanation:

Convert each mixed fraction to an improper fraction.

2\frac{1}{4} = \frac{9}{4}

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

4\frac{3}{8} = \frac{35}{8}

So, the expression becomes

\frac{9}{4} \times \frac{7}{2} \div \frac{35}{8}

Dividing by

\frac{35}{8}

means multiplying by its reciprocal

\frac{8}{35}

Thus,

\frac{9}{4} \times \frac{7}{2} \times \frac{8}{35}

Cancel common factors:

4 \times 2 = 8

, so the

8

cancels.

Now,

\frac{9 \times 7}{35} = \frac{63}{35} = \frac{9}{5}

Convert

\frac{9}{5}

to a mixed number:

1\frac{4}{5}

Answer:

1\frac{4}{5}

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