Question

Write each fraction in the simplest form. If the fraction is already in simplest form, write the simplest form.

$\frac{24}{36}$

Short answer

The simplest form is: $\frac{24}{36}=\frac{2}{3}$.

Step-by-step solution

Step 1. Given information.

Given fraction is:

$\frac{24}{36}$

Step 2. Write the concept.

A fraction is in simplest form when the numerator and denominator cannot be any smaller, while still being whole numbers.

To simplify a fraction, divide the numerator and denominator by the greatest number that will divide both numerator and denominator exactly.

Step 3. Write factors of numerator and denominator.

$\begin{array}{l}24=2\times 2\times 2\times 3\\ 36=2\times 2\times 3\times 3\end{array}$

Step 4. Simplify the fraction.

The fraction $\frac{24}{36}$can be simplified as in below.

$$\begin{gathered} \frac{24}{36}=\frac{2\times 2\times 2\times 3}{2\times 2\times 3\times 3} \\ =\frac{2}{3} \end{gathered}$$