Solution - Reducing fractions to their lowest terms

Step  1  :

            2
 Simplify   —
            7

Equation at the end of step  1  :

        2
  -1 -  —
        7

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

           -1     -1 • 7
     -1 =  ——  =  ——————
           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:

 -1 • 7 - (2)     -9
 ————————————  =  ——
      7           7 

Final result :

  -9            
  —— = -1.28571 
  7