Solution - Reducing fractions to their lowest terms

Step  1  :

            1
 Simplify   —
            6

Equation at the end of step  1  :

       1
  7 -  —
       6

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  6  as the denominator :

          7     7 • 6
     7 =  —  =  —————
          1       6  

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:

 7 • 6 - (1)     41
 ———————————  =  ——
      6          6 

Final result :

  41           
  —— = 6.83333 
  6