# 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) $15\times\frac{3}{5}$

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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) $15\times\frac{3}{5}=\frac{15\times3}{5}$

$=\frac{45}{5}$

$=9$

Updated on 10-Oct-2022 13:32:36