Question

Divide:
(i) $\frac{11}{24}$ by $\frac{7}{8}$
(ii) $\frac{55}{8}$ by $\frac{11}{16}$
(iii) $\frac{5}{39}$ by $\frac{3}{13}$
(iv) $\frac{3}{2}$ by $\frac{13}{5}$
(v) $\frac{4}{5}$ by $\frac{1}{45}$
(vi) $\frac{6}{3}$ by $\frac{21}{4}$

Answer 1

(i) $\frac{11}{24}$ by $\frac{7}{8}$

$\Rightarrow \frac{11}{24}÷\frac{7}{8}$

$=\frac{11}{24}\times \frac{8}{7}$

$=\frac{11}{3}\times \frac{1}{7}$

$=\frac{11}{21}$

$\therefore \frac{11}{24}÷\frac{7}{8}=\frac{11}{21}$

(ii) $\frac{55}{8}$ by $\frac{11}{16}$

$\Rightarrow \frac{55}{8}÷\frac{11}{16}$

$=\frac{55}{8}\times \frac{16}{11}$

$=\frac{5}{1}\times \frac{2}{1}$

$=10$

$\therefore \frac{55}{8}÷\frac{11}{16}=10$

(iii) $\frac{5}{39}$ by $\frac{3}{13}$

$\Rightarrow \frac{5}{39}÷\frac{3}{13}$

$=\frac{5}{39}\times \frac{13}{3}$

$=\frac{5}{3}\times \frac{1}{3}$

$=\frac{5}{9}$

$\therefore \frac{5}{39}÷\frac{3}{13}=\frac{5}{9}$

(iv)$\frac{3}{2}$ by $\frac{13}{5}$

$\Rightarrow \frac{3}{2}÷\frac{13}{5}$

$=\frac{3}{2}\times \frac{5}{13}$

$=\frac{15}{26}$

$\therefore \frac{3}{2}÷\frac{13}{5}=\frac{15}{26}$

(v) $\frac{4}{5}$ by $\frac{1}{45}$

$\Rightarrow \frac{4}{5}÷\frac{1}{45}$

$=\frac{4}{5}\times \frac{45}{1}$

$=\frac{4}{1}\times \frac{9}{1}$

$=36$

$\therefore \frac{4}{5}÷\frac{1}{45}=36$

(vi) $\frac{6}{3}$ by $\frac{21}{4}$

$\Rightarrow \frac{6}{3}÷\frac{21}{4}$

$=\frac{6}{3}\times \frac{4}{21}$

$=\frac{2}{3}\times \frac{4}{7}$

$=\frac{8}{21}$

$\therefore \frac{6}{3}÷\frac{21}{4}==\frac{8}{21}$