# How do you write #18/54# in simplest form?

##### 1 Answer

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#### Explanation

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We have to find a

#color(blue)"common factor"# that will divide into 18 and 54 and reduce the fraction.

This process is referred to as#color(blue)"cancelling"# If you can see that 18 is a factor of 18 and 54 then the fraction can be simplified immediately.

#rArr18/54=(18÷18)/(54÷18)=1/3# Usually written as

#18/54=cancel(18)^1/cancel(54)^3=1/3# A fraction is in

#color(blue)"simplest form"# when no other factor apart from 1 will divide exactly into the numerator/denominator.Otherwise, begin with the lowest common factor, and continue the process until simplified form is reached.

Proceeding with factor of

# color(red)(2)#

#cancel(18)^9/cancel(54)^(27)=9/27# Now with a factor of

#color(red)(3)" and " color(red)(3)" again"#

#cancel(9)^3/cancel(27)^9=3/9=cancel(3)^1/cancel(9)^3=1/3larr" in simplest form"#

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