# How do you write the fraction #3/6# in simplest form?

##### 1 Answer

Dec 2, 2016

#### Answer:

#### Explanation:

We have to find a

#color(blue)"common factor"# that will divide into 3 and 6 and reduce the fraction.This process is called

#color(blue)"cancelling"# The only factor that is common to 3 and 6 is

#color(red)(3)#

#rArr3/6=(3÷3)/(6÷3)=1/2larr" in simplest form"# This is usually written as follows.

#3/6=cancel(3)^1/cancel(6)^2=1/2# A fraction is in

#color(blue)"simplest form"# when no other factor apart from 1 will divide into the numerator/denominator.