Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.1" was replaced by "(31/10)".

Step  1  :

            31
 Simplify   ——
            10

Equation at the end of step  1  :

  (21)          31
  ———— +  (0 -  —— ÷ 4)
   2            10

Step  2  :

         31      
 Divide  ——  by  4
         10      

Equation at the end of step  2  :

  (21)          31
  ———— +  (0 -  ——)
   2            40

Step  3  :

Equation at the end of step  3  :

  2    -31
  — +  ———
  2    40 

Step  4  :

            2
 Simplify   —
            2

Canceling Out :

 4.1      Canceling out  2  as it appears on both sides of the fraction line

Equation at the end of step  4  :

       -31
  1 +  ———
       40 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  40  as the denominator :

          1     1 • 40
     1 =  —  =  ——————
          1       40  

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:

 40 + -31      9
 ————————  =  ——
    40        40

Final result :

   9           
  —— = 0.22500 
  40