Solution - Reducing fractions to their lowest terms

Step  1  :

            h
 Simplify   —
            2

Equation at the end of step  1  :

              h     
  ((l - d) +  —) +  110
              2     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

              l - d     (l - d) • 2
     l - d =  —————  =  ———————————
                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 :

 2.2       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:

 (l-d) • 2 + h     2l - 2d + h
 —————————————  =  ———————————
       2                2     

Equation at the end of step  2  :

  (2l - 2d + h)    
  ————————————— +  110
        2          

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

           110     110 • 2
    110 =  ———  =  ———————
            1         2   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 (2l-2d+h) + 110 • 2     2l - 2d + h + 220
 ———————————————————  =  —————————————————
          2                      2        

Trying to factor a multi variable polynomial :

 3.3       Split       2l - 2d + h + 220 
             into two 2-term polynomials
              - 2d + 2l   and     + h + 220
             This partition did not result in a factorization. We'll try another one:

             2l - 2d   and     + h + 220
             This partition did not result in a factorization. We'll try another one:

             2l + h   and     - 2d + 220
             This partition did not result in a factorization. We'll try another one:

             2l + 220   and     + h - 2d
             This partition did not result in a factorization. We'll try another one:

              + 220 + 2l   and     + h - 2d
             This partition did not result in a factorization. We'll try another one:

              + h + 2l   and     + 2d + 220
            All three partitions failed. Tiger finds no factorization

Final result :

  + 2d + 220