Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.79" was replaced by "(579/100)".

Step  1  :

            579
 Simplify   ———
            100

Equation at the end of step  1  :

         579     
  (48 -  ———) -  19
         100     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

           48     48 • 100
     48 =  ——  =  ————————
           1        100   

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:

 48 • 100 - (579)     4221
 ————————————————  =  ————
       100            100 

Equation at the end of step  2  :

  4221    
  ———— -  19
  100     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  100  as the denominator :

          19     19 • 100
    19 =  ——  =  ————————
          1        100   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 4221 - (19 • 100)     2321
 —————————————————  =  ————
        100            100 

Final result :

  2321            
  ———— = 23.21000 
  100