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 • —)) -  —
   7          7      4

Step  2  :

            4
 Simplify   —
            7

Equation at the end of step  2  :

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

Step  3  :

            3
 Simplify   —
            7

Equation at the end of step  3  :

   3    88     1
  (— +  ——) -  —
   7    7      4

Step  4  :

Adding fractions which have a common denominator :

 4.1       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  4  :

  13    1
  —— -  —
  1     4

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  4  as the denominator :

           13     13 • 4
     13 =  ——  =  ——————
           1        4   

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:

 13 • 4 - (1)     51
 ————————————  =  ——
      4           4 

Final result :

  51            
  —— = 12.75000 
  4