Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            7

Equation at the end of step  1  :

       3
  2 -  —
       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 :

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

 2 • 7 - (3)     11
 ———————————  =  ——
      7          7 

Final result :

  11           
  —— = 1.57143 
  7