Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.125" was replaced by "(1125/1000)". 2 more similar replacement(s)

Step  1  :

            2
 Simplify   —
            1

Equation at the end of step  1  :

    25    1125     
  (——— -  ————) -  2
   100    1000     

Step  2  :

            9
 Simplify   —
            8

Equation at the end of step  2  :

    25    9     
  (——— -  —) -  2
   100    8     

Step  3  :

            1
 Simplify   —
            4

Equation at the end of step  3  :

   1    9     
  (— -  —) -  2
   4    8     

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      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 = 2

   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.      2
   ——————————————————  =   —
         L.C.M             8

   R. Mult. • R. Num.      9
   ——————————————————  =   —
         L.C.M             8

Adding fractions that have a common denominator :

 4.4       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 - (9)     -7
 ———————  =  ——
    8        8 

Equation at the end of step  4  :

  -7    
  —— -  2
  8     

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  8  as the denominator :

         2     2 • 8
    2 =  —  =  —————
         1       8  

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

 -7 - (2 • 8)     -23
 ————————————  =  ———
      8            8 

Final result :

  -23            
  ——— = -2.87500 
   8