Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.75" was replaced by "(175/100)". 3 more similar replacement(s)

Step  1  :

            7
 Simplify   —
            4

Equation at the end of step  1  :

   25    1375     7
  (—— +  ————) +  —
   10    1000     4

Step  2  :

            11
 Simplify   ——
            8 

Equation at the end of step  2  :

   25    11     7
  (—— +  ——) +  —
   10    8      4

Step  3  :

            5
 Simplify   —
            2

Equation at the end of step  3  :

   5    11     7
  (— +  ——) +  —
   2    8      4

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.      5 • 4
   ——————————————————  =   —————
         L.C.M               8  

   R. Mult. • R. Num.      11
   ——————————————————  =   ——
         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:

 5 • 4 + 11     31
 ——————————  =  ——
     8          8 

Equation at the end of step  4  :

  31    7
  —— +  —
  8     4

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       8 

      The right denominator is :       4 

      Least Common Multiple:
      8 

Calculating Multipliers :

 5.2    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 = 1

   Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      31
   ——————————————————  =   ——
         L.C.M             8 

   R. Mult. • R. Num.      7 • 2
   ——————————————————  =   —————
         L.C.M               8  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 31 + 7 • 2     45
 ——————————  =  ——
     8          8 

Final result :

  45           
  —— = 5.62500 
  8