Question

Express the algebraic expression $\frac{\mathrm{ab}}{2}÷\frac{\mathrm{bc}}{2}$in its lowest form.

Answer 1

To simplify : $\frac{\mathrm{ab}}{2}÷\frac{\mathrm{bc}}{2}$

$\frac{\mathrm{ab}}{2}÷\frac{\mathrm{bc}}{2}=\frac{\mathrm{a}\times \mathrm{b}}{2}\times \frac{2}{\mathrm{b}\times \mathrm{c}}$

$=\frac{\mathrm{a}\times 1}{1}\times \frac{1}{1\times \mathrm{c}}$

$=\frac{\mathrm{a}}{\mathrm{c}}$

Thus, $\frac{\mathrm{ab}}{2}÷\frac{\mathrm{bc}}{2}$$=\frac{\mathrm{a}}{\mathrm{c}}$ Answer