Problem on Reducing Fractions

Reducing fractions is one of the basic operations involved between fraction along with addition of fractions, subtraction of fraction, multiplication of fraction and dividing fractions etc.
Reducing fractions is otherwise called as simplifying the fractions. To understand the steps to reduce a fraction let us consider an example with a big number farction.
Reduce the fraction 45/105
Solution for reducing fraction :

 45
-----
 105

   3 x 3 x 5      3
= ------------ = ----
   3 x 5 x 7      7

There is one more method of direct simplification or reducing the fraction as shown below,

 45      15     3
----- = ---- = ---
 105     35     7

So whenever any given fraction is big simplification will be lengthy. For more problems math help would be useful.