3.  Multiply and reduce to lowest form and convert into a mixed fraction:

           (i) 7\times \frac{3}{5}       (ii) 4\times \frac{1}{3}            (iii) 2\times \frac{6}{7}              (iv) 5\times \frac{2}{9}       (v) \frac{2}{3}\times 4     

         (vi) \frac{5}{2}\times 6      (vii) 11\times \frac{4}{7}       (viii) 20\times \frac{4}{5}    (ix) 13\times \frac{1}{3}     (x) 15\times \frac{3}{5}

Answers (1)

(i) 7\times \frac{3}{5}

On Multiplying, we get

\Rightarrow \frac{7\times3}{5}=\frac{21}{5}=\frac{20+1}{5}=\frac{20}{5}+\frac{1}{5}=4+\frac{1}{5}=4\frac{1}{5}

(ii) 4\times \frac{1}{3}

On Multiplying, we get

\Rightarrow \frac{4\times1}{3}=\frac{4}{3}=\frac{3+1}{3}=\frac{3}{3}+\frac{1}{3}=1+\frac{1}{3}=1\frac{1}{3}

(iii) 2\times \frac{6}{7}

On Multiplying, we get

\Rightarrow \frac{2\times6}{7}=\frac{12}{7}=\frac{7+5}{7}=\frac{7}{7}+\frac{5}{7}=1+\frac{5}{7}=1\frac{5}{7}

(iv) 5\times \frac{2}{9}

On Multiplying, we get

\Rightarrow \frac{5\times2}{9}=\frac{10}{9}=\frac{9+1}{9}=\frac{9}{9}+\frac{1}{9}=1+\frac{1}{9}=1\frac{1}{9}

(v) \frac{2}{3}\times 4

On Multiplying, we get

\Rightarrow \frac{2\times4}{3}=\frac{8}{3}=\frac{6+2}{3}=\frac{6}{3}+\frac{2}{3}=2+\frac{2}{3}=2\frac{2}{3}

(vi) \frac{5}{2}\times 6

On Multiplying, we get

\Rightarrow \frac{5\times6}{2}=\frac{30}{2}=15

(vii) 11\times \frac{4}{7}

On Multiplying, we get

\Rightarrow \frac{11\times4}{7}=\frac{44}{7}

Converting this into a mixed fraction, we get

\Rightarrow \frac{44}{7}=\frac{42+2}{7}=\frac{42}{7}+\frac{2}{7}=6+\frac{2}{7}=6\frac{2}{7}.

 

(viii) 20\times \frac{4}{5}

On Multiplying, we get

\Rightarrow \frac{20\times4}{5}=\frac{80}{5}=16

(ix) 13\times \frac{1}{3}

On multiplying, we get 

\Rightarrow \frac{13\times1}{3}=\frac{13}{3}

Converting this into a mixed fraction,

\Rightarrow\frac{13}{3}=\frac{12+1}{3}=\frac{12}{3}+\frac{1}{3}=4+\frac{1}{3}=4\frac{1}{3}.

(x) 15\times \frac{3}{5}

On multiplying, we get,

\Rightarrow \frac{15\times3}{5}=\frac{45}{5}=9.

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