Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "77.7" was replaced by "(777/10)".

Step  1  :

            777
 Simplify   ———
            10 

Equation at the end of step  1  :

  777    
  ——— -  7
  10     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

         7     7 • 10
    7 =  —  =  ——————
         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:

 777 - (7 • 10)     707
 ——————————————  =  ———
       10           10 

Final result :

  707            
  ——— = 70.70000 
  10