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)". 6 more similar replacement(s)

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

      25 25  25  25  25  5
  ((((——+——)+——)+——)+——)+—
      10 10  10  10  10  2

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

      25 25  25  25  5  5
  ((((——+——)+——)+——)+—)+—
      10 10  10  10  2  2

Step  3  :

            5
 Simplify   —
            2

Equation at the end of step  3  :

      25 25  25  5  5  5
  ((((——+——)+——)+—)+—)+—
      10 10  10  2  2  2

Step  4  :

            5
 Simplify   —
            2

Equation at the end of step  4  :

      25 25  5  5  5  5
  ((((——+——)+—)+—)+—)+—
      10 10  2  2  2  2

Step  5  :

            5
 Simplify   —
            2

Equation at the end of step  5  :

      25 5  5  5  5  5
  ((((——+—)+—)+—)+—)+—
      10 2  2  2  2  2

Step  6  :

            5
 Simplify   —
            2

Equation at the end of step  6  :

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

Step  7  :

Adding fractions which have a common denominator :

 7.1       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:

 5 + 5     5
 —————  =  —
   2       1

Equation at the end of step  7  :

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

Step  8  :

Rewriting the whole as an Equivalent Fraction :

 8.1   Adding a fraction to a whole

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

          5     5 • 2
     5 =  —  =  —————
          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 :

 8.2       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:

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

Equation at the end of step  8  :

    15    5     5     5
  ((—— +  —) +  —) +  —
    2     2     2     2

Step  9  :

Adding fractions which have a common denominator :

 9.1       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:

 15 + 5     10
 ——————  =  ——
   2        1 

Equation at the end of step  9  :

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

Step  10  :

Rewriting the whole as an Equivalent Fraction :

 10.1   Adding a fraction to a whole

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

           10     10 • 2
     10 =  ——  =  ——————
           1        2   

Adding fractions that have a common denominator :

 10.2       Adding up the two equivalent fractions

 10 • 2 + 5     25
 ——————————  =  ——
     2          2 

Equation at the end of step  10  :

  25    5
  —— +  —
  2     2

Step  11  :

Adding fractions which have a common denominator :

 11.1       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:

 25 + 5     15
 ——————  =  ——
   2        1 

Final result :

  15