Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.9" was replaced by "(69/10)".

Step  1  :

            69
 Simplify   ——
            10

Equation at the end of step  1  :

            69
  (102) +  (——)2)
            10

Step  2  :

 2.1     69 = 3•23

(69)² = (3•23)² = 3² • 23²  2.2     10 = 2•5 (10)² = (2•5)² = 2² • 5²

Equation at the end of step  2  :

           (32•232)
  (102) +  ————————
           (22•52) 

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

             (32•232)
  (22•52) +  ————————
             (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 :

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

 (22•52) • 100 + 4761     14761
 ————————————————————  =  —————
         100               100 

Final result :

  14761             
  ————— = 147.61000 
   100