Question

Divide:
(i) $\frac{3}{8}\mathrm{by}4$
(ii) $\frac{9}{16}\mathrm{by}6$
(iii) $9\mathrm{by}\frac{3}{16}$
(iv) $10\mathrm{by}\frac{100}{3}$

Answer 1

(i)
$$\begin{gathered} \frac{3}{8}÷4=\frac{3}{8}\times \frac{1}{4} \\ =\frac{3}{32} \end{gathered}$$

(ii)
$$\begin{gathered} \frac{9}{16}÷6=\frac{9}{16}\times \frac{1}{6}=\frac{\cancel{9^3}}{16\times \cancel{6^2}} \\ =\frac{3}{32} \end{gathered}$$

(iii)
$$\begin{gathered} 9÷\frac{3}{16}=\frac{9}{1}\times \frac{16}{3}\iff \frac{\cancel{9^3}\times 16}{\cancel{3}} \\ =48 \end{gathered}$$

(iv)
$$\begin{gathered} 10÷\frac{100}{3}=\frac{10}{1}\times \frac{3}{100}\iff \frac{\cancel{10}\times 3}{\cancel{{100}^{10}}} \\ =\frac{3}{10} \end{gathered}$$