Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.34" was replaced by "(134/100)". 3 more similar replacement(s)

Step  1  :

            67
 Simplify   ——
            50

Equation at the end of step  1  :

   18     387    67
  {——}2 + ———) + ——
   10     100    50

Step  2  :

            387
 Simplify   ———
            100

Equation at the end of step  2  :

   18     387    67
  {——}2 + ———) + ——
   10     100    50

Step  3  :

            9
 Simplify   —
            5

Equation at the end of step  3  :

    9       387     67
  ((—)2) +  ———) +  ——
    5       100     50

Step  4  :

 4.1     9 = 32

(9)² = (3²)² = 3⁴

Equation at the end of step  4  :

   34    387     67
  (—— +  ———) +  ——
   52    100     50

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 4

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      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.      81 • 4
   ——————————————————  =   ——————
         L.C.M              100  

   R. Mult. • R. Num.      387
   ——————————————————  =   ———
         L.C.M             100

Adding fractions that have a common denominator :

 5.4       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:

 81 • 4 + 387     711
 ————————————  =  ———
     100          100

Equation at the end of step  5  :

  711    67
  ——— +  ——
  100    50

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       50 

      Least Common Multiple:
      100 

Calculating Multipliers :

 6.2    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 :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      711
   ——————————————————  =   ———
         L.C.M             100

   R. Mult. • R. Num.      67 • 2
   ——————————————————  =   ——————
         L.C.M              100  

Adding fractions that have a common denominator :

 6.4       Adding up the two equivalent fractions

 711 + 67 • 2     169
 ————————————  =  ———
     100          20 

Final result :

  169           
  ——— = 8.45000 
  20