Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             51
 Simplify   ———
            100

Equation at the end of step  1  :

          41            51
  ((7 -  ———) -  3) -  ———
         100           100

Step  2  :

             41
 Simplify   ———
            100

Equation at the end of step  2  :

          41            51
  ((7 -  ———) -  3) -  ———
         100           100

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

          7     7 • 100
     7 =  —  =  ———————
          1       100  

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:

 7 • 100 - (41)     659
 ——————————————  =  ———
      100           100

Equation at the end of step  3  :

   659           51
  (——— -  3) -  ———
   100          100

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  100  as the denominator :

         3     3 • 100
    3 =  —  =  ———————
         1       100  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 659 - (3 • 100)     359
 ———————————————  =  ———
       100           100

Equation at the end of step  4  :

  359     51
  ——— -  ———
  100    100

Step  5  :

Adding fractions which have a common denominator :

 5.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 359 - (51)     77
 ——————————  =  ——
    100         25

Final result :

  77           
  —— = 3.08000 
  25