Solution - Reducing fractions to their lowest terms

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

  10    1
  —— -  —
  2     2

Step  2  :

            5
 Simplify   —
            1

Equation at the end of step  2  :

       1
  5 -  —
       2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from 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 :

 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:

 5 • 2 - (1)     9
 ———————————  =  —
      2          2

Final result :

  9           
  — = 4.50000 
  2