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JAMB Mathematics 2016 Paper

Question : 35

Total: 50

Simplify 1 - (

\frac{1}{7}

\frac{1}{2}

\div

\frac{3}{4}

Solution:

Concept:

Apply the correct order of operations: first simplify the bracket, then handle the division, and finally subtract from 1.

Explanation:

Convert the mixed number:

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

Simplify the bracket:

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

Change division to multiplication by the reciprocal:

\frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{2}{3}

Now perform the subtraction:

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

Answer:

\frac{1}{3}

(Option B).

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