Solution - Reducing fractions to their lowest terms

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

      1     1      1
  ((2-—)•(3-—))•(4-—)
      2     3      4

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  4  as the denominator :

          4     4 • 4
     4 =  —  =  —————
          1       4  

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:

 4 • 4 - (1)     15
 ———————————  =  ——
      4          4 

Equation at the end of step  2  :

      1     1   15
  ((2-—)•(3-—))•——
      2     3   4 

Step  3  :

            1
 Simplify   —
            3

Equation at the end of step  3  :

         1          1     15
  ((2 -  —) • (3 -  —)) • ——
         2          3     4 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

          3     3 • 3
     3 =  —  =  —————
          1       3  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 3 • 3 - (1)     8
 ———————————  =  —
      3          3

Equation at the end of step  4  :

         1    8    15
  ((2 -  —) • —) • ——
         2    3    4 

Step  5  :

            1
 Simplify   —
            2

Equation at the end of step  5  :

         1    8    15
  ((2 -  —) • —) • ——
         2    3    4 

Step  6  :

Rewriting the whole as an Equivalent Fraction :

 6.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          2     2 • 2
     2 =  —  =  —————
          1       2  

Adding fractions that have a common denominator :

 6.2       Adding up the two equivalent fractions

 2 • 2 - (1)     3
 ———————————  =  —
      2          2

Equation at the end of step  6  :

   3   8    15
  (— • —) • ——
   2   3    4 

Step  7  :

Final result :

  15