Solution - Adding, subtracting and finding the least common multiple

Step  1  :

            3
 Simplify   —
            4

Equation at the end of step  1  :

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

Step  2  :

            1
 Simplify   —
            4

Equation at the end of step  2  :

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

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

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

          7     7 • 4
     7 =  —  =  —————
          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 :

 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 • 4 - (1)     27
 ———————————  =  ——
      4          4 

Equation at the end of step  3  :

   27          3
  (—— -  4) -  —
   4           4

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

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

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

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 27 - (4 • 4)     11
 ————————————  =  ——
      4           4 

Equation at the end of step  4  :

  11    3
  —— -  —
  4     4

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:

 11 - (3)     2
 ————————  =  —
    4         1

Final result :

  2