Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.4" was replaced by "(34/10)".

Step  1  :

Equation at the end of step  1  :

         34               
  (0 -  (—— • (-22))) -  22
         10               

Step  2  :

 2.1   Negative number raised to an even power is positive 

For example let's look at (-7)⁶ , where (-7) , a negative number, is raised to 6 , an even exponent :

(-7)⁶ can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)⁶ can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 7⁶ which is positive.

We proved that (-7)⁶ is equal to (7)⁶ which is a positive number

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved

Equation at the end of step  2  :

         34            
  (0 -  (—— • 22)) -  22
         10            

Step  3  :

            17
 Simplify   ——
            5 

Equation at the end of step  3  :

         17            
  (0 -  (—— • 22)) -  22
         5             

Step  4  :

Equation at the end of step  4  :

        68     
  (0 -  ——) -  22
        5      

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

          22     22 • 5
    22 =  ——  =  ——————
          1        5   

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:

 -68 - (22 • 5)     -88
 ——————————————  =  ———
       5             5 

Final result :

  -88             
  ——— = -17.60000 
   5