Question

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

$\frac{11}{18}$

Short answer

The simplest form is: $\frac{11}{18}$.

Step-by-step solution

Step 1. Given information.

Given fraction is:

$\frac{11}{18}$

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.

Since 11 and 18 are prime to each other. So, there is no common factor between them.

$\begin{array}{c}11=11\times 1\\ 18=18\times 1\end{array}$

Step 4. Simplify the fraction. 

The fraction $\frac{11}{18}$can be simplified as in below.

$\begin{array}{c}\frac{11}{18}=\frac{11\times 1}{18\times 1}\\ =\frac{11}{18}\end{array}$