# How do you write the fraction #9/21# in simplest form?

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Mia
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Nov 28, 2016

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Jim G.
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Nov 28, 2016

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We have to find a

#color(blue)"common factor"# that will divide into both 9 and 21 and reduce the fraction.In this case the lowest common factor is

#color(red)(3)#

#rArr9/21=(9÷3)/(21÷3)=3/7# This is usually written as shown below.

#9/21=cancel(9)^3/cancel(21)^7=3/7larrcolor(red)" in simplest form"# This process is called

#color(blue)"cancelling"# A fraction is in

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

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