Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)".

Step  1  :

Equation at the end of step  1  :

  75    
  —— +  25
  10    

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

  15    
  —— +  25
  2     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

          25     25 • 2
    25 =  ——  =  ——————
          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 :

 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:

 15 + 25 • 2     79
 ———————————  =  ——
      2          2 

Final result :

  79            
  —— = 39.50000 
  2