Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.42" was replaced by "(942/100)".

Step  1  :

            471
 Simplify   ———
            50 

Equation at the end of step  1  :

      471                            
  ((((——— +  3) +  3) +  4) +  3) +  7
      50                             

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

         3     3 • 50
    3 =  —  =  ——————
         1       50  

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:

 471 + 3 • 50     621
 ————————————  =  ———
      50          50 

Equation at the end of step  2  :

     621                      
  (((——— +  3) +  4) +  3) +  7
     50                       

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

         3     3 • 50
    3 =  —  =  ——————
         1       50  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 621 + 3 • 50     771
 ————————————  =  ———
      50          50 

Equation at the end of step  3  :

    771                
  ((——— +  4) +  3) +  7
    50                 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

         4     4 • 50
    4 =  —  =  ——————
         1       50  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 771 + 4 • 50     971
 ————————————  =  ———
      50          50 

Equation at the end of step  4  :

   971          
  (——— +  3) +  7
   50           

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

         3     3 • 50
    3 =  —  =  ——————
         1       50  

Adding fractions that have a common denominator :

 5.2       Adding up the two equivalent fractions

 971 + 3 • 50     1121
 ————————————  =  ————
      50           50 

Equation at the end of step  5  :

  1121    
  ———— +  7
   50     

Step  6  :

Rewriting the whole as an Equivalent Fraction :

 6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

         7     7 • 50
    7 =  —  =  ——————
         1       50  

Adding fractions that have a common denominator :

 6.2       Adding up the two equivalent fractions

 1121 + 7 • 50     1471
 —————————————  =  ————
      50            50 

Final result :

  1471            
  ———— = 29.42000 
   50