Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

        11          3
  (0 -  ——) ÷ (0 +  —)
        10          5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5  as the denominator :

          0     0 • 5
     0 =  —  =  —————
          1       5  

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:

 0 • 5 + 3     3
 —————————  =  —
     5         5

Equation at the end of step  2  :

        11    3
  (0 -  ——) ÷ —
        10    5

Step  3  :

            11
 Simplify   ——
            10

Equation at the end of step  3  :

        11    3
  (0 -  ——) ÷ —
        10    5

Step  4  :

         -11      3
 Divide  ———  by  —
         10       5

 4.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

-11     3       -11     5
———  ÷  —   =   ———  •  —
10      5       10      3

Final result :

  -11            
  ——— = -1.83333 
   6