Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2" was replaced by "(2/10)". 2 more similar replacement(s)

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

  566         1
  ——— ÷ (1 -  —)
  10          5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

          1     1 • 5
     1 =  —  =  —————
          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:

 5 - (1)     4
 ———————  =  —
    5        5

Equation at the end of step  2  :

  566   4
  ——— ÷ —
  10    5

Step  3  :

            283
 Simplify   ———
             5 

Equation at the end of step  3  :

  283   4
  ——— ÷ —
   5    5

Step  4  :

         283      4
 Divide  ———  by  —
          5       5

 4.1    Dividing fractions

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

283     4       283     5
———  ÷  —   =   ———  •  —
 5      5        5      4

Final result :

  283            
  ——— = 70.75000 
   4