Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.8" was replaced by "(8/10)".

Step  1  :

            4
 Simplify   —
            5

Equation at the end of step  1  :

           4
  (52) +  (—)2)
           5

Step  2  :

 2.1     4 = 22

(4)² = (2²)² = 2⁴

Equation at the end of step  2  :

          24
  (52) +  ——
          52

Step  3  :

Equation at the end of step  3  :

        24
  52 +  ——
        52

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5²  as the denominator :

           52     52 • 52
     52 =  ——  =  ———————
           1        52   

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:

 52 • 25 + 16     641
 ————————————  =  ———
      25          25 

Final result :

  641            
  ——— = 25.64000 
  25