How to simplify 25/100

The process to simplify a [proper] fraction is always the same:

-- If the numerator and denominator have a common factor,
then divide them both by it.

-- If they still have a common factor, then divide them both by that one.

-- Keep doing that until their only common factor is ' 1 '. 
That's when the fraction is in simplest form.



A slightly different approach is:

-- Find the greatest common factor of the numerator and denominator.

-- Divide the numerator and denominator both by it.

-- The fraction is then in simplest form.



As an example, let us do some work on the fraction you have provided:

               25 / 100 .

-- The factors of  25  are  1 ,  5 , and  25 .

-- The factors of  100  are  1 ,  2 ,  4 ,  5 ,  10 ,  20 ,  25 ,  50 , and  100 .

-- The factors that are common to  25  and  100  are  1 ,  5 , and  25 .

-- The greatest one of those is  25 .

So ' 25 ' is the number by which you should divide the numerator and denominator of your fraction.  When you do that, the fraction will be in its simplest form.

Think of quarters. there are 4 quarters in a dollar which in 100 cents. there is 1 quarter in a dollar which is 25 cents. so it would be 1/4.
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