Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "50.7" was replaced by "(507/10)".

Step  1  :

            507
 Simplify   ———
            10 

Equation at the end of step  1  :

         507     
  (48 +  ———) +  39
         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 :

           48     48 • 10
     48 =  ——  =  ———————
           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:

 48 • 10 + 507     987
 —————————————  =  ———
      10           10 

Equation at the end of step  2  :

  987    
  ——— +  39
  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 :

          39     39 • 10
    39 =  ——  =  ———————
          1        10   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 987 + 39 • 10     1377
 —————————————  =  ————
      10            10 

Final result :

  1377             
  ———— = 137.70000 
   10