Solution - Reducing fractions to their lowest terms

Step  1  :

            4
 Simplify   —
            7

Equation at the end of step  1  :

  15     1         4
  —— +  (— • (0 -  —))
  5      2         7

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

  15     1   -4
  —— +  (— • ——)
  5      2   7 

Step  3  :

            3
 Simplify   —
            1

Equation at the end of step  3  :

       -2
  3 +  ——
       7 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  7  as the denominator :

          3     3 • 7
     3 =  —  =  —————
          1       7  

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 :

 4.2       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 • 7 + -2     19
 ——————————  =  ——
     7          7 

Final result :

  19           
  —— = 2.71429 
  7