question_answer 11)

Multiply and reduce to lowest form and convert into a mixed fraction: (i) \[7\times \frac{3}{5}\]                              (ii) \[4\times \frac{1}{3}\]                             (iii) \[2\times \frac{6}{7}\]                                (iv) \[5\times \frac{2}{9}\] (v) \[\frac{2}{3}\times 4\]                            (vi) \[\frac{5}{2}\times 6\]                           (vii) \[11\times \frac{4}{7}\]                                (viii) \[20\times \frac{4}{5}\] (ix) \[13\times \frac{1}{3}\]                         (x) \[15\times \frac{3}{5}\]

Answer:

                (i) \[7\times \frac{3}{5}=\frac{7\times 3}{5}=\frac{21}{5}=4\frac{1}{5}\]                 (ii) \[4\times \frac{1}{3}=\frac{4\times 1}{3}=\frac{4}{3}=1\frac{1}{3}\]                 (iii) \[2\times \frac{6}{7}=\frac{2\times 6}{7}=\frac{12}{7}=1\frac{5}{7}\]                 (iv) \[5\times \frac{2}{9}=\frac{5\times 2}{9}=\frac{10}{9}=1\frac{1}{9}\]                 (v) \[\frac{2}{3}\times 4=\frac{2\times 4}{3}=\frac{8}{3}=2\frac{2}{3}\]                 (vi) \[\frac{5}{2}\times 6=\frac{5\times 6}{2}=\frac{30}{2}=\frac{15}{1}\]                 (vii) \[11\times \frac{4}{7}=\frac{11\times 4}{7}=\frac{44}{7}=6\frac{2}{7}\] (viii) \[20\times \frac{4}{5}=\frac{20\times 4}{5}=\frac{80}{5}=\frac{16}{1}\] (ix) \[13\times \frac{1}{3}=\frac{13\times 1}{3}=\frac{13}{3}=4\frac{1}{3}\] (x) \[15\times \frac{3}{5}=\frac{15\times 3}{5}=\frac{45}{5}=\frac{9}{1}\]