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Find: 12 divided by 3/4, 14 divided by 5/6

1.  Find:

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

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As we know, The division of a number by a / b is equivalent to multiplication of that number with b / a. So,

$(i) 12\div \frac{3}{4}$

$\Rightarrow 12\div \frac{3}{4}=12\times\frac{4}{3}=\frac{48}{3}=16$

$(ii) 14\div \frac{5}{6}$

$\Rightarrow 14\div \frac{5}{6}=14\times\frac{6}{5}=\frac{84}{5}=16\frac{4}{5}$

$(iii) 8\div \frac{7}{3}$

$\Rightarrow 8\div \frac{7}{3}=8\times\frac{3}{7}=\frac{24}{7}=3\frac{3}{7}$

$(iv) 4\div \frac{8}{3}$

$\Rightarrow 4\div \frac{8}{3}=4\times\frac{3}{8}=\frac{12}{8}=\frac{3}{2}=1\frac{1}{2}$

$(v) 3\div 2\frac{1}{3}$

$\Rightarrow 3\div 2\frac{1}{3}=3\div\frac{7}{3}=3\times\frac{3}{7}=\frac{9}{7}=1\frac{2}{7}$

$(vi) 5\div 3\frac{4}{7}$

$\Rightarrow 5\div 3\frac{4}{7}=5\div\frac{25}{7}=5\times\frac{7}{25}=\frac{35}{25}=\frac{7}{5}=1\frac{2}{5}$

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