Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)". 3 more similar replacement(s)

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

      5    15     5
  (((——+1)+——)+2)+—
     10    10     2

Step  2  :

            3
 Simplify   —
            2

Equation at the end of step  2  :

      5          3           5
  (((—— +  1) +  —) +  2) +  —
     10          2           2

Step  3  :

            1
 Simplify   —
            2

Equation at the end of step  3  :

     1          3           5
  (((— +  1) +  —) +  2) +  —
     2          2           2

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

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

         1     1 • 2
    1 =  —  =  —————
         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 :

 4.2       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:

 1 + 2     3
 —————  =  —
   2       2

Equation at the end of step  4  :

    3    3           5
  ((— +  —) +  2) +  —
    2    2           2

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 3 + 3     3
 —————  =  —
   2       1

Equation at the end of step  5  :

   3          5
  (— +  2) +  —
   1          2

Step  6  :

Rewriting the whole as an Equivalent Fraction :

 6.1   Adding a fraction to a whole

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

          5     5 • 2
     5 =  —  =  —————
          1       2  

Adding fractions that have a common denominator :

 6.2       Adding up the two equivalent fractions

 5 • 2 + 5     15
 —————————  =  ——
     2         2 

Final result :

  15           
  —— = 7.50000 
  2