Question

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

$\frac{27}{45}$

Short answer

The simplest form is: $\frac{27}{45}=\frac{3}{5}$.

Step-by-step solution

Step 1. Given information.

Given fraction is:

$\frac{27}{45}$

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.

$\begin{array}{c}27=3\times 3\times 3\\ 45=3\times 3\times 5\end{array}$

Step 4. Simplify the fraction.

The fraction $\frac{27}{45}$can be simplified as in below.

$$\begin{gathered} \frac{27}{45}=\frac{3\times 3\times 3}{3\times 3\times 5} \\ =\frac{3}{5} \end{gathered}$$