Q9. - Algebra 1

Question

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

$\frac{64}{88}$

Step-by-Step Solution

Answer

The simplest form is: $\frac{64}{88}=\frac{8}{11}$.

Step 1. Given information.

Given fraction is:

$\frac{64}{88}$

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.

$\begin{array}{l}64=2\times 2\times 2\times 2\times 2\times 2\\ 88=2\times 2\times 2\times 11\end{array}$

Step 4. Simplify the fraction.

The fraction $\frac{64}{88}$ can be simplified as in below.

 $$\begin{gathered} \frac{64}{88}=\frac{2\times 2\times 2\times 2\times 2\times 2}{2\times 2\times 2\times 11} \\ =\frac{2\times 2\times 2}{11} \\ =\frac{8}{11} \end{gathered}$$