Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             7
 Simplify   ——
            10

Equation at the end of step  1  :

           3            7
  ((12 -  ——) -  7) -  ——
          10           10

Step  2  :

             3
 Simplify   ——
            10

Equation at the end of step  2  :

           3            7
  ((12 -  ——) -  7) -  ——
          10           10

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           12     12 • 10
     12 =  ——  =  ———————
           1        10   

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:

 12 • 10 - (3)     117
 —————————————  =  ———
      10           10 

Equation at the end of step  3  :

   117           7
  (——— -  7) -  ——
   10           10

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  10  as the denominator :

         7     7 • 10
    7 =  —  =  ——————
         1       10  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 117 - (7 • 10)     47
 ——————————————  =  ——
       10           10

Equation at the end of step  4  :

  47     7
  —— -  ——
  10    10

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:

 47 - (7)     4
 ————————  =  —
    10        1

Final result :

  4