Solution - Reducing fractions to their lowest terms

Step  1  :

            1
 Simplify   —
            7

Equation at the end of step  1  :

        1
  2x -  —
        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 :

           2x     2x • 7
     2x =  ——  =  ——————
           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:

 2x • 7 - (1)     14x - 1
 ————————————  =  ———————
      7              7   

Final result :

  14x - 1
  ———————
     7