Solution - Reducing fractions to their lowest terms

Step by step solution :

Step  1  :

             39
 Simplify   ———
            253

Equation at the end of step  1  :

         39
  4a +  ———  = 0 
        253

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  253  as the denominator :

           4a     4a • 253
     4a =  ——  =  ————————
           1        253   

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 :

 2.2       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:

 4a • 253 + 39     1012a + 39
 —————————————  =  ——————————
      253             253    

Equation at the end of step  2  :

  1012a + 39
  ——————————  = 0 
     253    

Step  3  :

When a fraction equals zero :

 3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  1012a+39
  ———————— • 253 = 0 • 253
    253   

Now, on the left hand side, the  253  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   1012a+39  = 0

Solving a Single Variable Equation :

 3.2      Solve  :    1012a+39 = 0 

 Subtract  39  from both sides of the equation : 
                      1012a = -39
Divide both sides of the equation by 1012:
                     a = -39/1012 = -0.039

One solution was found :