Solution - Reducing fractions to their lowest terms

Step  1  :

            7
 Simplify   —
            8

Equation at the end of step  1  :

        5          7
  (12 • —) -  (8 • —)
        8          8

Step  2  :

            5
 Simplify   —
            8

Equation at the end of step  2  :

        5     
  (12 • —) -  7
        8     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

         7     7 • 2
    7 =  —  =  —————
         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:

 15 - (7 • 2)     1
 ————————————  =  —
      2           2

Final result :

  1           
  — = 0.50000 
  2