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)   (Show Source): You can put this solution on YOUR website!
Any ratio a:b can be written as the fraction which means that 27:105 can be written as . Now let's reduce


Solved by pluggable solver: Reducing Fractions Calculator
In order to reduce , 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 and is AMP Parsing Error of []: Invalid expression '': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. . (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by AMP Parsing Error of []: Invalid expression '': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .



In other words, to reduce the fraction you do this




AMP Parsing Error of [(27/)/(105/)]: Invalid expression ')/(105/)': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. . Plug in the numerator, denominator, and the GCF


AMP Parsing Error of [(9)/(105/)]: Invalid expression ')': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. . Now divide 27 by to get 9. This is now the new numerator.


Now divide 105 by to get 35. This is now the new denominator.



So

AMP Parsing Error of [(27/)/(105/)=9/35]: Invalid expression ')/(105/)=9/35': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .




This means that reduces to



In other words,






So the ratio 27:105 converts to the fraction
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