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)". 2 more similar replacement(s)

Step  1  :

            9
 Simplify   —
            2

Equation at the end of step  1  :

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

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

        9     9
  (9 +  —) +  —
        2     2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   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 :

 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:

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

Equation at the end of step  3  :

  27    9
  —— +  —
  2     2

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:

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

Final result :

  18