Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.8" was replaced by "(18/10)".

Step  1  :

            9
 Simplify   —
            5

Equation at the end of step  1  :

             9
  7 • ((3 -  —)9)
             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 :

          3     3 • 5
     3 =  —  =  —————
          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:

 3 • 5 - (9)     6
 ———————————  =  —
      5          5

Equation at the end of step  2  :

       6
  7 • (—)9)
       5

Step  3  :

 3.1     6 = 2•3

(6)⁹ = (2•3)⁹ = 2⁹ • 3⁹

Equation at the end of step  3  :

      (29•39)
  7 • ———————
        59   

Step  4  :

Final result :

  (7•29•39)            
  ————————— = 36.11846 
     59