question_answer 25)

Find: (i) \[12\div \frac{3}{4}\]                 (ii) \[14\div \frac{5}{6}\]                                (iii) \[8\div \frac{7}{3}\]                 (iv) \[4\div \frac{8}{3}\] (v) \[3\div 2\frac{1}{3}\]                               (vi) \[5\div 3\frac{4}{7}\]

Answer:

                (i) \[12\div \frac{3}{4}=12\times \frac{4}{3}=\frac{12\times 4}{3}=\frac{48}{3}=\frac{48\div 3}{3\div 3}=\frac{16}{1}\]                 (ii) \[14\div \frac{5}{6}=14\times \frac{6}{5}=\frac{14\times 6}{5}=\frac{84}{5}=16\frac{4}{5}\]                 (iii) \[8\div \frac{7}{3}=8\times \frac{3}{7}=\frac{8\times 3}{7}=\frac{24}{7}=3\frac{3}{7}\]                 (iv) \[4\div \frac{8}{3}=4\times \frac{3}{8}=\frac{4\times 3}{8}=\frac{12}{8}=\frac{12\div 4}{8\div 4}=\frac{3}{2}=1\frac{1}{2}\]                 (v) \[3\div 2\frac{1}{3}=3\div \frac{7}{3}=3\times \frac{3}{7}=\frac{3\times 3}{7}=\frac{9}{7}=1\frac{2}{7}\] (vi) \[5\div 3\frac{4}{7}=5\div \frac{25}{7}=5\times \frac{7}{25}=\frac{5\times 7}{25}=\frac{35}{25}\]\[=\frac{35\div 5}{25\div 5}=\frac{7}{5}=1\frac{2}{5}\]