Solution - Adding, subtracting and finding the least common multiple

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                     a/8-17/8-(-2)≤0 

Step by step solution :

Step  1  :

            17
 Simplify   ——
            8 

Equation at the end of step  1  :

   a    17     
  (— -  ——) -  -2  ≤ 0 
   8    8      

Step  2  :

            a
 Simplify   —
            8

Equation at the end of step  2  :

   a    17     
  (— -  ——) -  -2  ≤ 0 
   8    8      

Step  3  :

Adding fractions which have a common denominator :

 3.1       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:

 a - (17)     a - 17
 ————————  =  ——————
    8           8   

Equation at the end of step  3  :

  (a - 17)    
  ———————— -  -2  ≤ 0 
     8        

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  8  as the denominator :

          -2     -2 • 8
    -2 =  ——  =  ——————
          1        8   

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:

 (a-17) - (-2 • 8)     a - 1
 —————————————————  =  —————
         8               8  

Equation at the end of step  4  :

  a - 1
  —————  ≤ 0 
    8  

Step  5  :

 5.1    Multiply both sides by  8 

Solve Basic Inequality :

 5.2      Add  1  to both sides

             a ≤ 1

Inequality Plot :

 5.3      Inequality plot for

         0.125 a  - 0.125  ≤  0

  
 

One solution was found :