Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "18.15" was replaced by "(1815/100)". 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 :

                (785/100)+q-(-(1815/100))<0 

Step by step solution :

Step  1  :

            363
 Simplify   ———
            20 

Equation at the end of step  1  :

   785                363
  (——— +  q) -  (0 -  ———)  < 0 
   100                20 

Step  2  :

            157
 Simplify   ———
            20 

Equation at the end of step  2  :

   157          -363
  (——— +  q) -  ————  < 0 
   20            20 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

         q     q • 20
    q =  —  =  ——————
         1       20  

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       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:

 157 + q • 20     20q + 157
 ————————————  =  —————————
      20             20    

Equation at the end of step  3  :

  (20q + 157)    -363
  ——————————— -  ————  < 0 
      20          20 

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 (20q+157) - (-363)     20q + 520
 ——————————————————  =  —————————
         20                20    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   20q + 520  =   20 • (q + 26) 

Equation at the end of step  5  :

  q + 26  < 0 

Step  6  :

Solve Basic Inequality :

 6.1      Subtract  26  from both sides

            q < -26

Inequality Plot :

 6.2      Inequality plot for

         q  + 26.000  <  0

  
 

One solution was found :