Question

The simplest form of the fraction $\frac{24}{36}$ is .

• A. $\frac{2}{3}$
• B. $\frac{3}{2}$
• C. $\frac{4}{6}$
• D. 812
• E. $\frac{4}{12}$

Answer 1

The correct option is A $\frac{2}{3}$

The Highest Common Factor of 24 and 36 is 12.
We divide both the numerator and denominator of the fraction by 12 to get its most simplified form.
$\frac{24÷12}{36÷12}$ = $\frac{2}{3}$.
Therefore, $\frac{24}{36}$ in its simplest form is $\frac{2}{3}$.
Note that $\frac{8}{12}$ and $\frac{4}{6}$ both represent the fraction $\frac{24}{36}$, but are not in their simplest forms.
($\frac{8}{12}=\frac{8\times 3}{12\times 3}=\frac{24}{36}$ and
$\frac{4}{6}=\frac{4\times 6}{6\times 6}=\frac{24}{36}$)