Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.432" was replaced by "(3432/1000)". 2 more similar replacement(s)

Step  1  :

            429
 Simplify   ———
            125

Equation at the end of step  1  :

         1053         429
  0-((0-(————•(103)))-———)
         1000         125

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

               1053                429
  0 -  ((0 -  (———— • (23•53))) -  ———)
               1000                125

Step  3  :

            1053
 Simplify   ————
            1000

Equation at the end of step  3  :

               1053                429
  0 -  ((0 -  (———— • (23•53))) -  ———)
               1000                125

Step  4  :

Canceling Out :

 4.1      Canceling out  2³ as it appears on both sides of the fraction line

Canceling Out :

 4.2      Canceling out  5³ as it appears on both sides of the fraction line

Equation at the end of step  4  :

                       429
  0 -  ((0 -  1053) -  ———)
                       125

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  125  as the denominator :

              -1053     -1053 • 125
     -1053 =  —————  =  ———————————
                1           125    

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 :

 5.2       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:

 -1053 • 125 - (429)     -132054
 ———————————————————  =  ———————
         125               125  

Equation at the end of step  5  :

       -132054
  0 -  ———————
         125  

Step  6  :

Final result :

  132054              
  —————— = 1056.43200 
   125