Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.3" was replaced by "(33/10)".

Step  1  :

            33
 Simplify   ——
            10

Equation at the end of step  1  :

          33            
  ((57 +  ——) +  17) +  25
          10            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  10  as the denominator :

           57     57 • 10
     57 =  ——  =  ———————
           1        10   

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:

 57 • 10 + 33     603
 ————————————  =  ———
      10          10 

Equation at the end of step  2  :

   603           
  (——— +  17) +  25
   10            

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  10  as the denominator :

          17     17 • 10
    17 =  ——  =  ———————
          1        10   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 603 + 17 • 10     773
 —————————————  =  ———
      10           10 

Equation at the end of step  3  :

  773    
  ——— +  25
  10     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  10  as the denominator :

          25     25 • 10
    25 =  ——  =  ———————
          1        10   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 773 + 25 • 10     1023
 —————————————  =  ————
      10            10 

Final result :

  1023             
  ———— = 102.30000 
   10