Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)". 5 more similar replacement(s)

Step  1  :

            9
 Simplify   —
            2

Equation at the end of step  1  :

     45 45  45  45  9
  (((——+——)+——)+——)+—
     10 10  10  10  2

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

     45 45  45  9  9
  (((——+——)+——)+—)+—
     10 10  10  2  2

Step  3  :

            9
 Simplify   —
            2

Equation at the end of step  3  :

     45 45  9  9  9
  (((——+——)+—)+—)+—
     10 10  2  2  2

Step  4  :

            9
 Simplify   —
            2

Equation at the end of step  4  :

     45    9     9     9     9
  (((—— +  —) +  —) +  —) +  —
     10    2     2     2     2

Step  5  :

            9
 Simplify   —
            2

Equation at the end of step  5  :

     9    9     9     9     9
  (((— +  —) +  —) +  —) +  —
     2    2     2     2     2

Step  6  :

Adding fractions which have a common denominator :

 6.1       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 + 9     9
 —————  =  —
   2       1

Equation at the end of step  6  :

    9    9     9     9
  ((— +  —) +  —) +  —
    1    2     2     2

Step  7  :

Rewriting the whole as an Equivalent Fraction :

 7.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

          9     9 • 2
     9 =  —  =  —————
          1       2  

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 :

 7.2       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:

 9 • 2 + 9     27
 —————————  =  ——
     2         2 

Equation at the end of step  7  :

   27    9     9
  (—— +  —) +  —
   2     2     2

Step  8  :

Adding fractions which have a common denominator :

 8.1       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:

 27 + 9     18
 ——————  =  ——
   2        1 

Equation at the end of step  8  :

  18    9
  —— +  —
  1     2

Step  9  :

Rewriting the whole as an Equivalent Fraction :

 9.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

           18     18 • 2
     18 =  ——  =  ——————
           1        2   

Adding fractions that have a common denominator :

 9.2       Adding up the two equivalent fractions

 18 • 2 + 9     45
 ——————————  =  ——
     2          2 

Final result :

  45            
  —— = 22.50000 
  2