Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "12.44" was replaced by "(1244/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

                    1244     
  ((15 +  (101)) +  ————) +  (2•5)
                    100      

Step  2  :

            311
 Simplify   ———
            25 

Equation at the end of step  2  :

                    311     
  ((15 +  (101)) +  ———) +  (2•5)
                    25      

Step  3  :

 3.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  3  :

                    311     
  ((15 +  (2•5)) +  ———) +  (2•5)
                    25      

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  25  as the denominator :

           25     25 • 25
     25 =  ——  =  ———————
           1        25   

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 :

 4.2       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:

 25 • 25 + 311     936
 —————————————  =  ———
      25           25 

Equation at the end of step  4  :

  936    
  ——— +  (2•5)
  25     

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  25  as the denominator :

             (2•5)     (2•5) • 25
    (2•5) =  —————  =  ——————————
               1           25    

Adding fractions that have a common denominator :

 5.2       Adding up the two equivalent fractions

 936 + (2•5) • 25     1186
 ————————————————  =  ————
        25             25 

Final result :

  1186            
  ———— = 47.44000 
   25