Question

Write the fraction in simplest form. (p. 184)

$\frac{24}{40}$

Short answer

The simplest form of$\frac{24}{40}$is .$\frac{3}{5}$

Step-by-step solution

. Given

The given fraction is$\frac{24}{40}$ .

. To determine

We have to convert the fraction in the simplest form.

.  Calculation

We first factor the numerator and denominator completely. Then we cancel the common factors.

$\begin{array}{c}\frac{24}{40}=\frac{2\cdot 2\cdot 2\cdot 3}{2\cdot 2\cdot 2\cdot 5}\\ =\frac{3}{5}\end{array}$

So, the simplest form of$\frac{24}{40}$ is$\frac{3}{5}$ .