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

1 Answer
Nov 19, 2016

Answer:

#1/3#

Explanation:

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"#