Solution - Reducing fractions to their lowest terms

Step  1  :

            7
 Simplify   —
            8

Equation at the end of step  1  :

        1           7
  (64 • —) -  (30 • —)
        4           8

Step  2  :

            1
 Simplify   —
            4

Equation at the end of step  2  :

        1     105
  (64 • —) -  ———
        4      4 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  4  as the denominator :

           16     16 • 4
     16 =  ——  =  ——————
           1        4   

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:

 16 • 4 - (105)     -41
 ——————————————  =  ———
       4             4 

Final result :

  -41             
  ——— = -10.25000 
   4