Solution - Reducing fractions to their lowest terms

Step  1  :

            -4
 Simplify   ——
            11

Equation at the end of step  1  :

              -4     
  6 -  ((3 -  ——) +  8)
              11     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  11  as the denominator :

          3     3 • 11
     3 =  —  =  ——————
          1       11  

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 :

 2.2       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:

 3 • 11 - (-4)     37
 —————————————  =  ——
      11           11

Equation at the end of step  2  :

        37    
  6 -  (—— +  8)
        11    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  11  as the denominator :

         8     8 • 11
    8 =  —  =  ——————
         1       11  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 37 + 8 • 11     125
 ———————————  =  ———
     11          11 

Equation at the end of step  3  :

       125
  6 -  ———
       11 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  11  as the denominator :

          6     6 • 11
     6 =  —  =  ——————
          1       11  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 6 • 11 - (125)     -59
 ——————————————  =  ———
       11           11 

Final result :

  -59            
  ——— = -5.36364 
  11