Question

In the following exercises, simplify each rational expression.

$\frac{56}{63}$

Short answer

The simplest form of the given expression is$\frac{8}{9}.$

Step-by-step solution

Step 1. Given information

The given expression is$\frac{56}{63}$

Step 2. Simplify

$$\begin{gathered} \frac{56}{63}=\frac{7\times 2\times 2\times 2}{7\times 3\times 3}\text{Factorizenumeratoranddenominator} \\ =\frac{2\times 2\times 2}{3\times 3}\text{Removecommonfactorsofnumeratoranddenominator} \\ =\frac{8}{9}\text{Simplify} \end{gathered}$$

Hence,role="math" localid="1644989390619" $\frac{56}{63}=\frac{8}{9}.$