Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.667" was replaced by "(667/1000)".

Step  1  :

             667
 Simplify   ————
            1000

Equation at the end of step  1  :

    667           
  (———— +  75) +  55
   1000           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  1000  as the denominator :

          75     75 • 1000
    75 =  ——  =  —————————
          1        1000   

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:

 667 + 75 • 1000     75667
 ———————————————  =  —————
      1000           1000 

Equation at the end of step  2  :

  75667    
  ————— +  55
  1000     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  1000  as the denominator :

          55     55 • 1000
    55 =  ——  =  —————————
          1        1000   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 75667 + 55 • 1000     130667
 —————————————————  =  ——————
       1000             1000 

Final result :

  130667             
  —————— = 130.66700 
   1000