Question

Find:
(i) $\frac{1}{2}\mathrm{of}4\frac{2}{9}$
(ii) $\frac{5}{8}\mathrm{of}9\frac{2}{3}$
(iii) $\frac{2}{3}\mathrm{of}\frac{9}{16}$

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\frac{1}{2}\mathrm{of}4\frac{2}{9} \\ =\frac{1}{2}\times \left(4\frac{2}{9}\right) \\ =\frac{1}{2}\times \frac{(4\times 9)+2}{9}=\frac{1\times 38}{2\times 9} \\ =\frac{19}{9}=2\frac{1}{9} \\ \left(\mathrm{ii}\right)\frac{5}{8}\mathrm{of}9\frac{2}{3} \\ =\frac{5}{8}\times \left(9\frac{2}{3}\right) \\ =\frac{5}{8}\times \frac{(9\times 3)+2}{3}=\frac{5\times 29}{8\times 3} \\ =\frac{145}{24}=6\frac{1}{24} \\ \left(\mathrm{iii}\right)\frac{2}{3}\mathrm{of}\frac{9}{16}=\frac{2\times 9}{3\times 16} \\ =\frac{3}{8} \end{gathered}$$