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}

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) 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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