Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.1" was replaced by "(1/10)".

Step  1  :

             1
 Simplify   ——
            10

Equation at the end of step  1  :

            1
  (23) +  (——)2)
           10

Step  2  :

 2.1     10 = 2•5 (10)² = (2•5)² = 2² • 5²

Equation at the end of step  2  :

             1   
  (23) +  ———————
          (22•52)

Step  3  :

Equation at the end of step  3  :

           1   
  23 +  ———————
        (22•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  2² • 5²  as the denominator :

           23     23 • (22•52)
     23 =  ——  =  ————————————
           1        (22•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:

 23 • 100 + 1     801
 ————————————  =  ———
     100          100

Final result :

  801           
  ——— = 8.01000 
  100