Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.87" was replaced by "(287/100)". 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 :

                a-(387/100)-(-(287/100))<0 

Step by step solution :

Step  1  :

            287
 Simplify   ———
            100

Equation at the end of step  1  :

        387           287
  (a -  ———) -  (0 -  ———)  < 0 
        100           100

Step  2  :

            387
 Simplify   ———
            100

Equation at the end of step  2  :

        387     -287
  (a -  ———) -  ————  < 0 
        100     100 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

          a     a • 100
     a =  —  =  ———————
          1       100  

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:

 a • 100 - (387)     100a - 387
 ———————————————  =  ——————————
       100              100    

Equation at the end of step  3  :

  (100a - 387)    -287
  ———————————— -  ————  < 0 
      100         100 

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:

 (100a-387) - (-287)     100a - 100
 ———————————————————  =  ——————————
         100                100    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   100a - 100  =   100 • (a - 1) 

Equation at the end of step  5  :

  a - 1  < 0 

Step  6  :

Solve Basic Inequality :

 6.1      Add  1  to both sides

             a < 1

Inequality Plot :

 6.2      Inequality plot for

         a  - 1.000  <  0

  
 

One solution was found :