Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

Step  1  :

Equation at the end of step  1  :

  (342) -  (3)(-2)

Step  2  :

 2.1     34 = 2•17

(34)² = (2•17)² = 2² • 17²

Equation at the end of step  2  :

  (22•172) -  (3)(-2)

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3²  as the denominator :

                (22•172)     (22•172) • 32
    (22•172) =  ————————  =  —————————————
                   1              32      

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:

 (22•172) • 9 - (1)     10403
 ——————————————————  =  —————
         9                9  

Final result :

  10403              
  ————— = 1155.88889 
    9