SOLUTION: I am an older student taking a "beginners" Math class. How do you simplify the following fraction: 471/39? I worked it out and got 12 and 1/13. This was incorrect.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I am an older student taking a "beginners" Math class. How do you simplify the following fraction: 471/39? I worked it out and got 12 and 1/13. This was incorrect.      Log On


   

Question 182023: I am an older student taking a "beginners" Math class. How do you simplify the following fraction: 471/39? I worked it out and got 12 and 1/13. This was incorrect.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct in saying that 471%2F39=2%261%2F13. However, I think that they want an improper fraction as an answer.


Solved by pluggable solver: Reducing Fractions Calculator
In order to reduce 471%2F39, 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 471 and 39 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



%28471%2F%29%2F%2839%2F%29 Plug in the numerator, denominator, and the GCF


%28157%29%2F%2839%2F%29 Now divide 471 by to get 157. This is now the new numerator.


157%2F13 Now divide 39 by to get 13. This is now the new denominator.



So

%28471%2F%29%2F%2839%2F%29=157%2F13




This means that 471%2F39 reduces to 157%2F13



In other words, 471%2F39=157%2F13