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) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\)
= \(2\frac{2}{3} - (\frac{5}{2} - \frac{9}{5})\)
= \(\frac{8}{3} - (\frac{25 - 18}{10})\)
= \(\frac{8}{3} - \frac{7}{10}\)
= \(\frac{80 - 21}{30}\)
= \(\frac{59}{30}\)
(ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)
= \(\frac{1.61}{0.46}\)
= \(\frac{7}{2}\)
= \(3\frac{1}{2}\)