Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)". 2 more similar replacement(s)

Step  1  :

            6
 Simplify   —
            5

Equation at the end of step  1  :

        25       6
  (0-(2•——))+(3•(—2))
        10       5

Step  2  :

 2.1     6 = 2•3

(6)² = (2•3)² = 2² • 3²

Equation at the end of step  2  :

             25           (22•32)
  (0 -  (2 • ——)) +  (3 • ———————)
             10             52   

Step  3  :

Multiplying exponents :

 3.1    3¹  multiplied by  3²   = 3^{(1 + 2)} = 3³

Equation at the end of step  3  :

             25      108
  (0 -  (2 • ——)) +  ———
             10      25 

Step  4  :

            5
 Simplify   —
            2

Equation at the end of step  4  :

             5      108
  (0 -  (2 • —)) +  ———
             2      25 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  25  as the denominator :

           -5     -5 • 25
     -5 =  ——  =  ———————
           1        25   

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 :

 5.2       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:

 -5 • 25 + 108     -17
 —————————————  =  ———
      25           25 

Final result :

  -17            
  ——— = -0.68000 
  25