Simplify: 7\; 1/2 × ≤ft( 1/4 ÷ 1/2 ) - \; 1/4

Correct Answer is : 72\;\; 7/227

Correct Answer is : 72\;\; 7/227

Test Index

BECE Mathematics 2017 Paper

Question : 26

Total: 40

Simplify:

7\; \frac{1}{2} \times \left( \frac{1}{4} \div \frac{1}{2} \right) - \; \frac{1}{4}

Solution:

Concept:

Use BODMAS rule: simplify the bracket first, then multiply, and finally subtract.

Explanation:

Convert the mixed fraction:

7\frac{1}{2} = \frac{15}{2}

Simplify the bracket using division of fractions:

\frac{1}{4} \div \frac{1}{2} = \frac{1}{4} \times \frac{2}{1} = \frac{2}{4} = \frac{1}{2}

Now multiply:

\frac{15}{2} \times \frac{1}{2} = \frac{15}{4}

Then subtract

\frac{1}{4}

\frac{15}{4} - \frac{1}{4} = \frac{14}{4} = \frac{7}{2}

Answer:

\frac{7}{2}

, which is option A.

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