Solution - Adding, subtracting and finding the least common multiple

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

   3     4   1
  (—+(22•—))-— ÷ 1 ÷ 4
   7     7   4

Step  2  :

         1      
 Divide  —  by  1
         4      

Equation at the end of step  2  :

   3     4   1
  (—+(22•—))-— ÷ 4
   7     7   4

Step  3  :

         1      
 Divide  —  by  4
         4      

Equation at the end of step  3  :

   3          4       1
  (— +  (22 • —)) -  ——
   7          7      16

Step  4  :

            4
 Simplify   —
            7

Equation at the end of step  4  :

   3          4       1
  (— +  (22 • —)) -  ——
   7          7      16

Step  5  :

            3
 Simplify   —
            7

Equation at the end of step  5  :

   3    88      1
  (— +  ——) -  ——
   7    7      16

Step  6  :

Adding fractions which have a common denominator :

 6.1       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:

 3 + 88     13
 ——————  =  ——
   7        1 

Equation at the end of step  6  :

  13     1
  —— -  ——
  1     16

Step  7  :

Rewriting the whole as an Equivalent Fraction :

 7.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  16  as the denominator :

           13     13 • 16
     13 =  ——  =  ———————
           1        16   

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 :

 7.2       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:

 13 • 16 - (1)     207
 —————————————  =  ———
      16           16 

Final result :

  207            
  ——— = 12.93750 
  16