Question

Find the product:

(i) $\frac{3}{5}\times \frac{7}{11}$
(ii) $\frac{5}{8}\times \frac{4}{7}$
(iii) $\frac{4}{9}\times \frac{15}{16}$
(iv) $\frac{2}{5}\times 15$
(v) $\frac{8}{15}\times 20$
(vi) $\frac{5}{8}\times 1000$
(vii) $3\frac{1}{8}\times 16$
(viii) $2\frac{4}{15}\times 12$
(ix) $3\frac{6}{7}\times 4\frac{2}{3}$
(x) $9\frac{1}{2}\times 1\frac{9}{19}$
(xi) $4\frac{1}{8}\times 2\frac{10}{11}$
(xii) $5\frac{5}{6}\times 1\frac{5}{7}$

Answer 1

(i) $\frac{3}{5}\times \frac{7}{11}=\frac{3\times 7}{5\times 11}=\frac{21}{55}$

(ii) $\frac{5}{8}\times \frac{4}{7}=\frac{5\times 4}{8\times 7}=\frac{5\times 1}{2\times 7}=\frac{5}{14}$

(iii) $\frac{4}{9}\times \frac{15}{16}=\frac{4\times 15}{9\times 16}=\frac{1\times 5}{3\times 4}=\frac{5}{12}$

(iv) $\frac{2}{5}\times 15=\frac{2}{5}\times \frac{15}{1}=\frac{2\times 15}{5\times 1}=\frac{2\times 3}{1\times 1}=6$

(v) $\frac{8}{15}\times 20=\frac{8}{15}\times \frac{20}{1}=\frac{8\times 20}{15\times 1}=\frac{8\times 4}{3\times 1}=\frac{32}{3}=10\frac{2}{3}$

(vi) $\frac{5}{8}\times 1000=\frac{5}{8}\times \frac{1000}{1}=\frac{5\times 1000}{8\times 1}=\frac{5\times 125}{1\times 1}=625$

(vii) $3\frac{1}{8}\times 16=\frac{25}{8}\times \frac{16}{1}=\frac{25\times 16}{8\times 1}=\frac{25\times 2}{1\times 1}=50$

(viii) $2\frac{4}{15}\times 12=\frac{34}{15}\times \frac{12}{1}=\frac{34\times 12}{15\times 1}=\frac{34\times 4}{5\times 1}=\frac{136}{5}=27\frac{1}{5}$

(ix) $3\frac{6}{7}\times 4\frac{2}{3}=\frac{27}{7}\times \frac{14}{3}=\frac{27\times 14}{7\times 3}=\frac{9\times 2}{1\times 1}=18$

(x) $9\frac{1}{2}\times 1\frac{9}{19}=\frac{19}{2}\times \frac{28}{19}=\frac{19\times 28}{2\times 19}=\frac{1\times 14}{1\times 1}=14$

(xi) $4\frac{1}{8}\times 2\frac{10}{11}=\frac{33}{8}\times \frac{32}{11}=\frac{33\times 32}{8\times 11}=\frac{3\times 4}{1\times 1}=12$

(xii) $5\frac{5}{6}\times 1\frac{5}{7}=\frac{35}{6}\times \frac{12}{7}=\frac{35\times 12}{6\times 7}=\frac{5\times 2}{1\times 1}=10$