question_answer 19)

Multiply the following fractions: (i) \[\frac{2}{5}\times 5\frac{1}{4}\]                         (ii) \[6\frac{2}{5}\times \frac{7}{9}\]                        (iii) \[\frac{3}{2}\times 5\frac{1}{3}\]                              (iv) \[\frac{5}{6}\times 2\frac{3}{7}\] (v) \[3\frac{2}{5}\times \frac{4}{7}\]                       (vi) \[2\frac{3}{5}\times 3\]                         (vii) \[3\frac{4}{7}\times \frac{3}{5}\]

Answer:

                (i) \[\frac{2}{5}\times 5\frac{1}{4}=\frac{2}{5}\times \frac{21}{4}=\frac{2\times 21}{5\times 4}=\frac{42}{20}\]\[=\frac{42\div 2}{20\div 2}\]                 \[=\frac{21}{10}=2\frac{1}{10}\]                 (ii) \[6\frac{2}{5}\times \frac{7}{9}=\frac{32}{5}\times \frac{7}{9}=\frac{32\times 7}{5\times 9}=\frac{224}{45}=4\frac{44}{45}\]                 (iii) \[\frac{3}{2}\times 5\frac{1}{3}=\frac{3}{2}\times \frac{16}{3}=\frac{3\times 16}{2\times 3}=\frac{48}{6}=\frac{48\div 6}{6\div 6}=8\]                 (iv) \[\frac{5}{6}\times 2\frac{3}{7}=\frac{5}{6}\times \frac{17}{7}=\frac{5\times 17}{6\times 7}=\frac{85}{42}=2\frac{1}{42}\]                 (v) \[3\frac{2}{5}\times \frac{4}{7}=\frac{17}{5}\times \frac{4}{7}=\frac{17\times 4}{5\times 7}=\frac{68}{35}=1\frac{33}{35}\]                 (vi) \[2\frac{3}{5}\times 3=\frac{13}{5}\times 3=\frac{13\times 3}{5}=\frac{39}{5}=7\frac{4}{5}\] (vii) \[3\frac{4}{7}\times \frac{3}{5}=\frac{25}{7}\times \frac{3}{5}=\frac{25\times 3}{7\times 5}=\frac{75}{35}\]\[=\frac{15}{7}=2\frac{1}{7}\]