Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.61" was replaced by "(161/100)". 3 more similar replacement(s)

Step  1  :

            161
 Simplify   ———
            100

Equation at the end of step  1  :

   187    14     161
  (——— +  ——) +  ———
   100    10     100

Step  2  :

            7
 Simplify   —
            5

Equation at the end of step  2  :

   187    7     161
  (——— +  —) +  ———
   100    5     100

Step  3  :

            187
 Simplify   ———
            100

Equation at the end of step  3  :

   187    7     161
  (——— +  —) +  ———
   100    5     100

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       5 

      Least Common Multiple:
      100 

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 = 1

   Right_M = L.C.M / R_Deno = 20

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.      187
   ——————————————————  =   ———
         L.C.M             100

   R. Mult. • R. Num.      7 • 20
   ——————————————————  =   ——————
         L.C.M              100  

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:

 187 + 7 • 20     327
 ————————————  =  ———
     100          100

Equation at the end of step  4  :

  327    161
  ——— +  ———
  100    100

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:

 327 + 161     122
 —————————  =  ———
    100        25 

Final result :

  122           
  ——— = 4.88000 
  25