Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.25" was replaced by "(625/100)".

Step  1  :

 1.1     15 = 3•5

(15)² = (3•5)² = 3² • 5²

Equation at the end of step  1  :

         625     
  (25 -  ———) +  (32•52)
         100     

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

         25     
  (25 -  ——) +  (32•52)
         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 :

           25     25 • 4
     25 =  ——  =  ——————
           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:

 25 • 4 - (25)     75
 —————————————  =  ——
       4           4 

Equation at the end of step  3  :

  75    
  —— +  (32•52)
  4     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

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

               (32•52)     (32•52) • 4
    (32•52) =  ———————  =  ———————————
                  1             4     

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 75 + (32•52) • 4     975
 ————————————————  =  ———
        4              4 

Final result :

  975             
  ——— = 243.75000 
   4