Q

# Find: 3/5 divided by 1/2

3.  Find:

$(i)\frac{3}{5}\div \frac{1}{2}$       $(ii)\frac{1}{2}\div \frac{3}{5}$       $(iii)2\frac{1}{2}\div \frac{3}{5}$          $(iv)5\frac{1}{6}\div \frac{9}{2}$

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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,

$(i)\frac{3}{5}\div \frac{1}{2}$

$\Rightarrow \frac{3}{5}\div \frac{1}{2}=\frac{3}{5}\times\frac{2}{1}=\frac{6}{5}=1\frac{1}{5}$

$(ii)\frac{1}{2}\div \frac{3}{5}$

$\Rightarrow \frac{1}{2}\div \frac{3}{5}=\frac{1}{2}\times\frac{5}{3}=\frac{5}{6}$

$(iii)2\frac{1}{2}\div \frac{3}{5}$

$2\frac{1}{2}\div \frac{3}{5}=\frac{5}{2}\div \frac{3}{5}=\frac{5}{2}\times\frac{5}{3}=\frac{25}{6}=4\frac{1}{6}$

$(iv)5\frac{1}{6}\div \frac{9}{2}$

$5\frac{1}{6}\div \frac{9}{2}=\frac{31}{6}\div\frac{9}{2}=\frac{31}{6}\times\frac{2}{9}=\frac{62}{54}=1\frac{8}{54}$

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