Solution - Reducing fractions to their lowest terms

Step  1  :

            8
 Simplify   —
            3

Equation at the end of step  1  :

  80   8
  —— • —) ÷ 12
  5    3

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

           26     26 • 3
     26 =  ——  =  ——————
           1        3   

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:

 26 • 3 - (8)     70
 ————————————  =  ——
      3           3 

Equation at the end of step  2  :

  80   70
  —— • —— ÷ 12
  5    3 

Step  3  :

         70      
 Divide  ——  by  12
         3       

Equation at the end of step  3  :

  80   35
  —— • ——
  5    18

Step  4  :

            16
 Simplify   ——
            1 

Equation at the end of step  4  :

       35
  16 • ——
       18

Step  5  :

Final result :

  280            
  ——— = 31.11111 
   9