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)".

Step  1  :

            44
 Simplify   ——
            25

Equation at the end of step  1  :

   2    175     44
  (— +  ———) -  ——
   2    100     25

Step  2  :

            7
 Simplify   —
            4

Equation at the end of step  2  :

   2    7     44
  (— +  —) -  ——
   2    4     25

Step  3  :

            1
 Simplify   —
            1

Equation at the end of step  3  :

        7     44
  (1 +  —) -  ——
        4     25

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  4  as the denominator :

          1     1 • 4
     1 =  —  =  —————
          1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 4.2       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:

 4 + 7     11
 —————  =  ——
   4       4 

Equation at the end of step  4  :

  11    44
  —— -  ——
  4     25

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       25 

      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 = 25

   Right_M = L.C.M / R_Deno = 4

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.      11 • 25
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      44 • 4
   ——————————————————  =   ——————
         L.C.M              100  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 11 • 25 - (44 • 4)      99
 ——————————————————  =  ———
        100             100

Final result :

   99           
  ——— = 0.99000 
  100