Solution - Reducing fractions to their lowest terms

Step  1  :

            13
 Simplify   ——
            10

Equation at the end of step  1  :

       13
  8 -  ——
       10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

          8     8 • 10
     8 =  —  =  ——————
          1       10  

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:

 8 • 10 - (13)     67
 —————————————  =  ——
      10           10

Final result :

  67           
  —— = 6.70000 
  10