Solution - Reducing fractions to their lowest terms

Step  1  :

            64
 Simplify   ——
            7 

Equation at the end of step  1  :

  64    
  —— -  3
  7     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

         3     3 • 7
    3 =  —  =  —————
         1       7  

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:

 64 - (3 • 7)     43
 ————————————  =  ——
      7           7 

Final result :

  43           
  —— = 6.14286 
  7