Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.9" was replaced by "(9/10)".

Step  1  :

             9
 Simplify   ——
            10

Equation at the end of step  1  :

        9
  4 -  ——
       10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

          4     4 • 10
     4 =  —  =  ——————
          1       10  

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 :

 2.2       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:

 4 • 10 - (9)     31
 ————————————  =  ——
      10          10

Final result :

  31           
  —— = 3.10000 
  10