Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)".

Step  1  :

            15
 Simplify   ——
            2 

Equation at the end of step  1  :

            15
  (252) -  (——)2)
            2 

Step  2  :

 2.1     15 = 3•5

(15)² = (3•5)² = 3² • 5²

Equation at the end of step  2  :

           (32•52)
  (252) -  ———————
             22   

Step  3  :

 3.1     25 = 52

(25)² = (5²)² = 5⁴

Equation at the end of step  3  :

        (32•52)
  54 -  ———————
          22   

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2²  as the denominator :

           54     54 • 22
     54 =  ——  =  ———————
           1        22   

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 :

 4.2       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:

 54 • 4 - (225)     2275
 ——————————————  =  ————
       4             4  

Final result :

  2275             
  ———— = 568.75000 
   4