Solution - Reducing fractions to their lowest terms

Step  1  :

            47
 Simplify   ——
            51

Equation at the end of step  1  :

        48   47
  1 -  (—— • ——)
        52   51

Step  2  :

            12
 Simplify   ——
            13

Equation at the end of step  2  :

        12   47
  1 -  (—— • ——)
        13   51

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  221  as the denominator :

          1     1 • 221
     1 =  —  =  ———————
          1       221  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 221 - (188)      33
 ———————————  =  ———
     221         221

Final result :

   33           
  ——— = 0.14932 
  221