Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.75" was replaced by "(375/100)".

Step  1  :

            15
 Simplify   ——
            4 

Equation at the end of step  1  :

   15           
  (—— +  10) +  6
   4            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          10     10 • 4
    10 =  ——  =  ——————
          1        4   

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:

 15 + 10 • 4     55
 ———————————  =  ——
      4          4 

Equation at the end of step  2  :

  55    
  —— +  6
  4     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         6     6 • 4
    6 =  —  =  —————
         1       4  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 55 + 6 • 4     79
 ——————————  =  ——
     4          4 

Final result :

  79            
  —— = 19.75000 
  4