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

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Jim G. Share
Dec 2, 2016

#### Answer:

$\frac{3}{6} = \frac{1}{2}$

#### Explanation:

We have to find a $\textcolor{b l u e}{\text{common factor}}$ that will divide into 3 and 6 and reduce the fraction.

This process is called $\textcolor{b l u e}{\text{cancelling}}$

The only factor that is common to 3 and 6 is $\textcolor{red}{3}$

rArr3/6=(3÷3)/(6÷3)=1/2larr" in simplest form"

This is usually written as follows.

$\frac{3}{6} = {\cancel{3}}^{1} / {\cancel{6}}^{2} = \frac{1}{2}$

A fraction is in $\textcolor{b l u e}{\text{simplest form}}$ when no other factor apart from 1 will divide into the numerator/denominator.

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