WRITING FRACTIONS IN SIMPLEST FORM

The simplest form of a fraction is [beautiful math coming... please be patient] $\,\displaystyle\frac{N}{D}\,$, where [beautiful math coming... please be patient] $\,N\,$ and [beautiful math coming... please be patient] $\,D\,$ have no common factors (except [beautiful math coming... please be patient] $\,1\,$).

Thus, in simplest form, there is no number other than [beautiful math coming... please be patient] $\,1\,$ that goes into both the numerator and denominator evenly.

EXAMPLES:
Question: Write in simplest form:   [beautiful math coming... please be patient] $\displaystyle\frac{6}{15}$
Solution:
The fraction [beautiful math coming... please be patient] $\,\frac{6}{15}\,$ is not in simplest form, because $\,6\,$ and $\,15\,$ have a common factor of [beautiful math coming... please be patient] $\,3\,$.
To simplify the fraction, use the following thought process: Note:
$\displaystyle\frac{6}{15} \ \ = \ \ \frac{3\cdot 2}{3\cdot 5} \ \ = \ \ \frac{3}{3}\cdot\frac{2}{5} \ \ = \ \ 1\cdot\frac{2}{5} \ \ = \ \ \frac{2}{5}\,$
Thus, simplifying a fraction is just getting rid of extra factor(s) of $\,1\,$.
Question: Write in simplest form:   [beautiful math coming... please be patient]$\frac{2}{6}$
Answer: [beautiful math coming... please be patient] $\frac{1}{3}$
In the exercises below, you will input fractions using a forward diagonal slash.
For example, [beautiful math coming... please be patient] $\,\frac{1}{3}\,$ is input as  1/3 .
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Deciding if a Fraction is a Finite or Infinite Repeating Decimal

 
 
Write in simplest form:
    
(an even number, please)