Solution - Reducing fractions to their lowest terms

Step  1  :

             7
 Simplify   ——
            10

Equation at the end of step  1  :

  15     7
  —— -  ——
  15    10

Step  2  :

            1
 Simplify   —
            1

Equation at the end of step  2  :

        7
  1 -  ——
       10

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

          1     1 • 10
     1 =  —  =  ——————
          1       10  

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 :

 3.2       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:

 10 - (7)      3
 ————————  =  ——
    10        10

Final result :

   3           
  —— = 0.30000 
  10