Question

A fraction equivalent to $\frac{24}{36}$ is
(a) $\frac{3}{4}$
(b) $\frac{2}{3}$
(c) $\frac{8}{9}$
(d) none of these

Answer 1

$$\begin{gathered} \left(\mathrm{b}\right)\frac{2}{3} \\ \mathrm{Factors}\mathrm{of}24\mathrm{are}1,2,3,4,6,8,12,24. \\ \mathrm{Factors}\mathrm{of}36\mathrm{are}1,2,3,4,6,9,12,18,36. \\ \mathrm{Common}\mathrm{factors}\mathrm{of}24\mathrm{and}36\mathrm{are}1,2,3,4,6,12. \\ \mathrm{H}.\mathrm{C}.\mathrm{F}.=12 \\ \mathrm{Dividing}\mathrm{both}\mathrm{the}\mathrm{numerator}\mathrm{and}\mathrm{the}\mathrm{denominator}\mathrm{by}12: \\ \frac{24}{36} \\ =\frac{24÷12}{36÷12} \\ =\frac{2}{3} \end{gathered}$$