Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.375" was replaced by "(2375/1000)".

Step  1  :

            19
 Simplify   ——
            8 

Equation at the end of step  1  :

   19             
  (——)1) ÷ 44 -  1) • 4
   8              

Step  2  :

 2.1     8 = 2³ (8)¹ = (2³)¹ = 2³

Equation at the end of step  2  :

   19         
  (—— ÷ 44 -  1) • 4
   23         

Step  3  :

         19      
 Divide  ——  by  44
         23      

Multiplying exponents :

 3.1    2³  multiplied by  2²   = 2^{(3 + 2)} = 2⁵

Equation at the end of step  3  :

    19    
  (——— -  1) • 4
   352    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  352  as the denominator :

         1     1 • 352
    1 =  —  =  ———————
         1       352  

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 - (352)     -333
 ——————————  =  ————
    352         352 

Equation at the end of step  4  :

  -333
  ———— • 4
  352 

Step  5  :

Final result :

  -333            
  ———— = -3.78409 
   88