Solution - Reducing fractions to their lowest terms

Step  1  :

            13
 Simplify   ——
            4 

Equation at the end of step  1  :

  21    13
  —— +  ——
  3     4 

Step  2  :

            7
 Simplify   —
            1

Equation at the end of step  2  :

       13
  7 +  ——
       4 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

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

          7     7 • 4
     7 =  —  =  —————
          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 :

 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:

 7 • 4 + 13     41
 ——————————  =  ——
     4          4 

Final result :

  41            
  —— = 10.25000 
  4