Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.8" was replaced by "(18/10)". 3 more similar replacement(s)

Step  1  :

            9
 Simplify   —
            5

Equation at the end of step  1  :

   624    32     9
  (——— +  ——) +  —
   100    10     5

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

   624    16     9
  (——— +  ——) +  —
   100    5      5

Step  3  :

            156
 Simplify   ———
            25 

Equation at the end of step  3  :

   156    16     9
  (——— +  ——) +  —
   25     5      5

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       5 

      Least Common Multiple:
      25 

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 = 5

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.      156
   ——————————————————  =   ———
         L.C.M             25 

   R. Mult. • R. Num.      16 • 5
   ——————————————————  =   ——————
         L.C.M               25  

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:

 156 + 16 • 5     236
 ————————————  =  ———
      25          25 

Equation at the end of step  4  :

  236    9
  ——— +  —
  25     5

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       5 

      Least Common Multiple:
      25 

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 = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      236
   ——————————————————  =   ———
         L.C.M             25 

   R. Mult. • R. Num.      9 • 5
   ——————————————————  =   —————
         L.C.M              25  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 236 + 9 • 5     281
 ———————————  =  ———
     25          25 

Final result :

  281            
  ——— = 11.24000 
  25