Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.065" was replaced by "(065/1000)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   375     65 
  (——— +  ————) • (25•55)
   100    1000

Step  2  :

             13
 Simplify   ———
            200

Equation at the end of step  2  :

   375     13
  (——— +  ———) • (25•55)
   100    200

Step  3  :

            15
 Simplify   ——
            4 

Equation at the end of step  3  :

   15     13
  (—— +  ———) • (25•55)
   4     200

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       200 

      Least Common Multiple:
      200 

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 = 50

   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.      15 • 50
   ——————————————————  =   ———————
         L.C.M               200  

   R. Mult. • R. Num.       13
   ——————————————————  =   ———
         L.C.M             200

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:

 15 • 50 + 13     763
 ————————————  =  ———
     200          200

Equation at the end of step  4  :

  763
  ——— • (25•55)
  200

Step  5  :

Dividing exponents :

 5.1    2⁵   divided by   2³   = 2^{(5 - 3)} = 2²

Dividing exponents :

 5.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Final result :

  (7•109•22•53)