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

Explanation

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

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

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

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

= \(\frac{24 - 21}{30}\)

= \(\frac{3}{30} = \frac{1}{10}\)

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

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

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

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