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1991 WAEC Mathematics Theory Simplify : (i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\) (ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)

Mathematics
WAEC 1991

Simplify :

(i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\)

(ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)

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Explanation

(i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\)

= \(2\frac{2}{3} - (\frac{5}{2} - \frac{9}{5})\)

= \(\frac{8}{3} - (\frac{25 - 18}{10})\)

= \(\frac{8}{3} - \frac{7}{10}\)

= \(\frac{80 - 21}{30}\)

= \(\frac{59}{30}\)

(ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)

= \(\frac{1.61}{0.46}\)

= \(\frac{7}{2}\)

= \(3\frac{1}{2}\)


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