Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

  1            3
  — ÷ 4 ÷ (2 - —)
  5            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 :

          2     2 • 5
     2 =  —  =  —————
          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:

 2 • 5 - (3)     7
 ———————————  =  —
      5          5

Equation at the end of step  2  :

  1       7
  — ÷ 4 ÷ —
  5       5

Step  3  :

            1
 Simplify   —
            5

Equation at the end of step  3  :

  1       7
  — ÷ 4 ÷ —
  5       5

Step  4  :

         1      
 Divide  —  by  4
         5      

Equation at the end of step  4  :

   1   7
  —— ÷ —
  20   5

Step  5  :

          1      7
 Divide  ——  by  —
         20      5

 5.1    Dividing fractions

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

 1     7        1     5
——  ÷  —   =   ——  •  —
20     5       20     7

Final result :

   1           
  —— = 0.03571 
  28