Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             3
 Simplify   ——
            10

Equation at the end of step  1  :

         1      3
  (1 -  ——) -  ——
        10     10

Step  2  :

             1
 Simplify   ——
            10

Equation at the end of step  2  :

         1      3
  (1 -  ——) -  ——
        10     10

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

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

          1     1 • 10
     1 =  —  =  ——————
          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 :

 3.2       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:

 10 - (1)      9
 ————————  =  ——
    10        10

Equation at the end of step  3  :

   9     3
  —— -  ——
  10    10

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 9 - (3)     3
 ———————  =  —
   10        5

Final result :

  3           
  — = 0.60000 
  5