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Multiply and reduce to lowest form and convert into a mixed fraction:
(i) $7\times\frac{1}{5}$
(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) $13\frac{1}{3}$
(x) $15\times\frac{3}{5}$
To do:
We have to multiply and reduce to lowest form and convert into a mixed fraction.
Solution:
We know that,
Product of fractions $=\frac{ \text {Product of numerators }}{ \text {Product of denominators }}$
Therefore,
(i) $7\times\frac{3}{5}=\frac{7\times3}{5}$
$=\frac{21}{5}$
$=\frac{5\times4+1}{5}$
$=4\frac{1}{5}$
(ii) $4\times\frac{1}{3}=\frac{4\times1}{3}$
$=\frac{4}{3}$
$=\frac{3\times1+1}{3}$
$=1\frac{1}{3}$
(iii) $2\times\frac{6}{7}=\frac{2\times6}{7}$
$=\frac{12}{7}$
$=\frac{7\times1+5}{7}$
$=1\frac{5}{7}$
(iv) $5\times\frac{2}{9}=\frac{5\times2}{9}$
$=\frac{10}{9}$
$=\frac{9\times1+1}{9}$
$=1\frac{1}{9}$
(v) $\frac{2}{3}\times 4=\frac{2\times4}{3}$
$=\frac{8}{3}$
$=\frac{3\times2+2}{3}$
$=2\frac{2}{3}$
(vi) $\frac{5}{2}\times 6$
$=\frac{5\times6}{2}$
$=\frac{30}{2}$
$=15$
(vii) $11\times\frac{4}{7}=\frac{11\times4}{7}$
$=\frac{44}{7}$
$=\frac{7\times6+2}{7}$
$=6\frac{2}{7}$
(viii) $20\times\frac{4}{5}=\frac{20\times4}{5}$
$=\frac{80}{5}$
$=16$
(ix) $13\times\frac{1}{3}=\frac{13\times1}{3}$
$=\frac{13}{3}$
$=4\frac{1}{3}$
(x) $15\times\frac{3}{5}=\frac{15\times3}{5}$
$=\frac{45}{5}$
$=9$