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}

Answers (1)

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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