question_answer 13)

Find: (a) \[\frac{1}{2}\] of (i) 24                             (ii) 46 (b) \[\frac{2}{3}\]of (i) 18                             (ii) 27 (c) \[\frac{3}{4}\]of (i) 16                              (ii) 36 (d) \[\frac{4}{5}\]of (i) 20                             (ii) 35

Answer:

                (a) \[\frac{1}{2}\]of (i) 24 (ii) 46                 (i) \[\frac{1}{2}\]of \[24=\frac{1}{2}\times 24=\frac{1\times 24}{2}=\frac{24}{2}=12\]                 (ii) \[\frac{1}{2}\]of \[46=\frac{1}{2}\times 46=\frac{1\times 46}{2}=\frac{46}{2}=23\]                 (b) \[\frac{\mathbf{2}}{\mathbf{3}}\]of (i) 18 (ii) 27                 (i) \[\frac{2}{3}\]of \[18=\frac{2}{3}\times 18=\frac{2\times 18}{3}=\frac{36}{3}=12\]                 (ii) \[\frac{2}{3}\]of \[27=\frac{2}{3}\times 27=\frac{2\times 27}{3}=\frac{54}{3}=18\]                 (c) \[\frac{\mathbf{3}}{\mathbf{4}}\]of (i) 16 (ii) 36                 (i) \[\frac{3}{4}\]of \[16=\frac{3}{4}\times 16=\frac{3\times 16}{4}=\frac{48}{4}=12\]                 (ii) \[\frac{3}{4}\] of \[36=\frac{3\times 36}{4}=\frac{108}{4}=27\]                 (d) \[\frac{\mathbf{4}}{\mathbf{5}}\]of (i) 20 (ii) 35                 (i) \[\frac{4}{5}\]of \[20=\frac{4}{5}\times 20=\frac{4\times 20}{5}=\frac{80}{5}=16\]                 (ii) \[\frac{4}{5}\]of \[35=\frac{4}{5}\times 35=\frac{4\times 35}{5}=\frac{140}{5}=28\]