question_answer 14)

Multiply and express as a mixed fraction; (a) \[3\times 5\frac{1}{5}\]                          (b) \[5\times 6\frac{3}{4}\]                          (c) \[7\times 2\frac{1}{4}\]                                (d) \[4\times 6\frac{1}{3}\] (e) \[3\frac{1}{4}\times 6\]                          (f) \[3\frac{2}{5}\times 8\]          

Answer:

                (a) \[3\times 5\frac{1}{5}=3\times \frac{26}{5}=\frac{3\times 26}{5}=\frac{78}{5}=15\frac{3}{5}\]                 (b) \[5\times 6\frac{3}{4}=5\times \frac{27}{4}=\frac{5\times 27}{4}=\frac{135}{4}=33\frac{3}{4}\]                 (c) \[7\times 2\frac{1}{4}=7\times \frac{9}{4}=\frac{7\times 9}{4}=\frac{63}{4}=15\frac{3}{4}\]                 (d) \[4\times 6\frac{1}{3}=4\times \frac{19}{3}=\frac{4\times 19}{3}=\frac{76}{3}=25\frac{1}{3}\]                 (e) \[3\frac{1}{4}\times 6=\frac{13\times 6}{4}=\frac{78}{4}=\frac{78\div 2}{4\div 2}=\frac{39}{2}=19\frac{1}{2}\]                 (f) \[3\frac{2}{5}\times 8=\frac{17}{5}\times 8=\frac{17\times 8}{5}=\frac{136}{5}=27\frac{1}{5}\].