x > 69/25
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "5.06" was replaced by "(506/100)". 2 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
          x+(23/10)-((506/100))>0 Â
Step by step solution :
Step  1  :
      253
Simplify  ———
      50 Â
Equation at the end of step  1  :
    23   253
 (x +  ——) -  ———  > 0 Â
    10   50 Â
Step  2  :
      23
Simplify  ——
      10
Equation at the end of step  2  :
    23   253
 (x +  ——) -  ———  > 0 Â
    10   50 Â
Step  3  :
Rewriting the whole as an Equivalent Fraction :
3.1 Â Adding a fraction to a whole
Rewrite the whole as a fraction using  10  as the denominator :
     x   x • 10
  x =  —  =  ——————
     1    10 Â
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 :
3.2 Â Â Â 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:
x • 10 + 23   10x + 23
———————————  =  ————————
  10       10  Â
Equation at the end of step  3  :
 (10x + 23)   253
 —————————— -  ———  > 0 Â
   10     50 Â
Step  4  :
Calculating the Least Common Multiple :
4.1 Â Â Find the Least Common Multiple
   The left denominator is :    10 Â
   The right denominator is :    50 Â
    Number of times each prime factor
    appears in the factorization of:
Prime Â
Factor  Left Â
Denominator  Right Â
Denominator  L.C.M = Max Â
{Left,Right} Â
2111
5122
Product of all Â
Prime Factors  105050
   Least Common Multiple:
   50 Â
Calculating Multipliers :
4.2 Â Â Calculate multipliers for the two fractions
  Denote the Least Common Multiple by  L.C.M Â
  Denote the Left Multiplier by  Left_M Â
  Denote the Right Multiplier by  Right_M Â
  Denote the Left Deniminator by  L_Deno Â
  Denote the Right Multiplier by  R_Deno Â
 Left_M = L.C.M / L_Deno = 5
 Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
4.3 Â Â Â 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.    (10x+23) • 5
 ——————————————————  =  ————————————
    L.C.M          50   Â
 R. Mult. • R. Num.    253
 ——————————————————  =  ———
    L.C.M       50 Â
Adding fractions that have a common denominator :
4.4 Â Â Â Adding up the two equivalent fractions
(10x+23) • 5 - (253)   50x - 138
————————————————————  =  —————————
     50         50  Â
Step  5  :
Pulling out like terms :
5.1 Â Â Pull out like factors :
 50x - 138  =  2 • (25x - 69) Â
Equation at the end of step  5  :
 2 • (25x - 69)
 ——————————————  > 0 Â
    50   Â
Step  6  :
6.1   Multiply both sides by  50 Â
6.2   Divide both sides by  2 Â
6.3   Divide both sides by  25 Â
   x-(69/25)  > 0