Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.125" was replaced by "(125/1000)". 2 more similar replacement(s)

Step  1  :

            1
 Simplify   —
            8

Equation at the end of step  1  :

         5     1
  (1 -  ——) -  —
        10     8

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

        1     1
  (1 -  —) -  —
        2     8

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          1     1 • 2
     1 =  —  =  —————
          1       2  

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:

 2 - (1)     1
 ———————  =  —
    2        2

Equation at the end of step  3  :

  1    1
  — -  —
  2    8

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       8 

      Least Common Multiple:
      8 

Calculating Multipliers :

 4.2    Calculate multipliers for the two fractions


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 4

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)²   and  (y²+y)/(y+1)³  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

   L. Mult. • L. Num.      4
   ——————————————————  =   —
         L.C.M             8

   R. Mult. • R. Num.      1
   ——————————————————  =   —
         L.C.M             8

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 4 - (1)     3
 ———————  =  —
    8        8

Final result :

  3           
  — = 0.37500 
  8