Q. 6 - Intermediate Algebra

Question

In the following exercises, simplify each rational expression.

$\frac{56}{63}$

Step-by-Step Solution

Answer

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

Step 1 . Given information

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

Step 2 . Simplify

$$\begin{gathered} \frac{56}{63} =\frac{7\times 2\times 2\times 2}{7\times 3\times 3} \text{Factorize numerator and denominator} \\ =\frac{2\times 2\times 2}{3\times 3} \text{ Remove common factors of numerator and denominator} \\ =\frac{8}{9} \text{ Simplify} \end{gathered}$$

Hence,  $\frac{56}{63}=\frac{8}{9}.$