SOLUTION: How do you write the ratio 27:105 as a fraction in simplest form

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Question 280501: How do you write the ratio 27:105 as a fraction in simplest form
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Any ratio a:b can be written as the fraction a%2Fb which means that 27:105 can be written as 27%2F105. Now let's reduce 27%2F105


Solved by pluggable solver: Reducing Fractions Calculator
In order to reduce 27%2F105, the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal.


In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of 27 and 105 is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by



In other words, to reduce the fraction you do this
%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction



%2827%2F%29%2F%28105%2F%29 Plug in the numerator, denominator, and the GCF


%289%29%2F%28105%2F%29 Now divide 27 by to get 9. This is now the new numerator.


9%2F35 Now divide 105 by to get 35. This is now the new denominator.



So

%2827%2F%29%2F%28105%2F%29=9%2F35




This means that 27%2F105 reduces to 9%2F35



In other words, 27%2F105=9%2F35






So the ratio 27:105 converts to the fraction 9%2F35