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JAMB Mathematics 2010 Paper

Question : 22

Total: 49

Simplify (

\frac{3}{4}

\frac{4}{9}

\div

\frac{1}{2}

\div

\frac{5}{19}

Solution:

Concept:

Use BODMAS and convert mixed numbers into improper fractions before simplifying.

Explanation:

Rewrite the mixed numbers as improper fractions:

9\frac{1}{2} = \frac{19}{2}

and

1\frac{5}{19} = \frac{24}{19}

Start with the expression inside the bracket.

"Of" means multiplication, so

\frac{3}{4} \times \frac{4}{9} = \frac{1}{3}

Next, divide

\frac{1}{3}

\frac{19}{2}

\frac{1}{3} \div \frac{19}{2} = \frac{1}{3} \times \frac{2}{19} = \frac{2}{57}

Now divide the bracket result by

\frac{24}{19}

\frac{2}{57} \div \frac{24}{19} = \frac{2}{57} \times \frac{19}{24}

Simplify:

\frac{2 \times 19}{57 \times 24} = \frac{1}{36}

Answer:

\frac{1}{36}

(Option C).

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