Question

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

$\frac{5}{65}$

Short answer

The simplest form is: $\frac{5}{65}=\frac{1}{13}$.

Step-by-step solution

Step 1. Given information.

Given fraction is:

$\frac{5}{65}$

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 the numerator and denominator exactly.

Step 3. Write factors of numerator and denominator.

$\begin{array}{c}5=5\times 1\\ 65=5\times 13\end{array}$

Step 4. Simplify the fraction.

The fraction $\frac{5}{65}$can be simplified as in below.

$\begin{array}{c}\frac{5}{65}=\frac{5\times 1}{5\times 13}\\ =\frac{1}{13}\end{array}$