Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.45" was replaced by "(1145/100)".

Step  1  :

            229
 Simplify   ———
            20 

Equation at the end of step  1  :

    229                 
  ((——— +  65) +  2) +  67
    20                  

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

          65     65 • 20
    65 =  ——  =  ———————
          1        20   

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:

 229 + 65 • 20     1529
 —————————————  =  ————
      20            20 

Equation at the end of step  2  :

   1529          
  (———— +  2) +  67
    20           

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

         2     2 • 20
    2 =  —  =  ——————
         1       20  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 1529 + 2 • 20     1569
 —————————————  =  ————
      20            20 

Equation at the end of step  3  :

  1569    
  ———— +  67
   20     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

          67     67 • 20
    67 =  ——  =  ———————
          1        20   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 1569 + 67 • 20     2909
 ——————————————  =  ————
       20            20 

Final result :

  2909             
  ———— = 145.45000 
   20