Solution - Reducing fractions to their lowest terms

Step  1  :

            19
 Simplify   ——
            10

Equation at the end of step  1  :

  19            
 (——)1) ÷ 3 -  1
  10            

Step  2  :

 2.1     10 = 2•5 (10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  2  :

    19         
  ————— ÷ 3 -  1
  (2•5)        

Step  3  :

           19       
 Divide  —————  by  3
         (2•5)      

Equation at the end of step  3  :

  19    
  —— -  1
  30    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  30  as the denominator :

         1     1 • 30
    1 =  —  =  ——————
         1       30  

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:

 19 - (30)     -11
 —————————  =  ———
    30         30 

Final result :

  -11            
  ——— = -0.36667 
  30