Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "10." was replaced by "(10/1)". 2 more similar replacement(s)

Step  1  :

            10
 Simplify   ——
            1 

Equation at the end of step  1  :

   1    5667    
  (— • (———— -  10)) • 280
   2    100     

Step  2  :

            5667
 Simplify   ————
            100 

Equation at the end of step  2  :

   1    5667    
  (— • (———— -  10)) • 280
   2    100     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  100  as the denominator :

          10     10 • 100
    10 =  ——  =  ————————
          1        100   

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:

 5667 - (10 • 100)     4667
 —————————————————  =  ————
        100            100 

Equation at the end of step  3  :

   1   4667
  (— • ————) • 280
   2   100 

Step  4  :

            1
 Simplify   —
            2

Equation at the end of step  4  :

   1   4667
  (— • ————) • 280
   2   100 

Step  5  :

Final result :

  32669              
  ————— = 6533.80000 
    5