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  :

            4
 Simplify   —
            7

Equation at the end of step  2  :

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

Step  3  :

            3
 Simplify   —
            7

Equation at the end of step  3  :

  3   88    1
  — + ——) - —) ÷ 1 ÷ 4
  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
  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 

Equation at the end of step  5  :

  51
  —— ÷ 1 ÷ 4
  4 

Step  6  :

         51      
 Divide  ——  by  1
         4       

Equation at the end of step  6  :

  51
  —— ÷ 4
  4 

Step  7  :

         51      
 Divide  ——  by  4
         4       

Final result :

  51           
  —— = 3.18750 
  16