Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

         3     
  (31 -  —) -  3
         2     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

           31     31 • 2
     31 =  ——  =  ——————
           1        2   

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 :

 2.2       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:

 31 • 2 - (3)     59
 ————————————  =  ——
      2           2 

Equation at the end of step  2  :

  59    
  —— -  3
  2     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         3     3 • 2
    3 =  —  =  —————
         1       2  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 59 - (3 • 2)     53
 ————————————  =  ——
      2           2 

Final result :

  53            
  —— = 26.50000 
  2