Solution - Reducing fractions to their lowest terms

Step  1  :

 1.1     14 = 2•7

(14)³ = (2•7)³ = 2³ • 7³

Equation at the end of step  1  :

            (23•73)
  (1373) +  ———————
              11   

Step  2  :

            (23•73)
 Simplify   ———————
              11   

Equation at the end of step  2  :

            2744
  (1373) +  ————
             11 

Step  3  :

Equation at the end of step  3  :

          2744
  1373 +  ————
           11 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  11  as the denominator :

             1373     1373 • 11
     1373 =  ————  =  —————————
              1          11    

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 :

 4.2       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:

 1373 • 11 + 2744     1373•11 + 2744
 ————————————————  =  ——————————————
        11                  11      

Final result :

  13 + 2744
  —————————
     11