Solution - Reducing fractions to their lowest terms

Step  1  :

            29
 Simplify   ——
            14

Equation at the end of step  1  :

  42    29
  —— +  ——
  7     14

Step  2  :

            6
 Simplify   —
            1

Equation at the end of step  2  :

       29
  6 +  ——
       14

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  14  as the denominator :

          6     6 • 14
     6 =  —  =  ——————
          1       14  

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 :

 3.2       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:

 6 • 14 + 29     113
 ———————————  =  ———
     14          14 

Final result :

  113           
  ——— = 8.07143 
  14