Question

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

$\frac{34}{85}$

Short answer

The simplest form is:$\frac{34}{85}=\frac{2}{5}$

Step-by-step solution

Step 1. Given information.

Given fraction is:

$\frac{34}{85}$

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.

$\begin{array}{l}34=2\times 17\\ 85=5\times 17\end{array}$

Step 4. Simplify the fraction.

The fraction $\frac{34}{85}$can be simplified as in below.

$\begin{array}{c}\frac{34}{85}=\frac{2\times 17}{5\times 17}\\ =\frac{2}{5}\end{array}$