Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.7" was replaced by "(117/10)".

Step  1  :

            117
 Simplify   ———
            10 

Equation at the end of step  1  :

  117    
  ——— +  50
  10     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

          50     50 • 10
    50 =  ——  =  ———————
          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:

 117 + 50 • 10     617
 —————————————  =  ———
      10           10 

Final result :

  617            
  ——— = 61.70000 
  10