what fraction of 18 is 14 over 3

Question

What percent of 18 is 14 over 3

Answer 1

Just to review terms:

   Example:  "What fraction of 18 is 9?"  means

                       x                *  18 = 9

      "of" usually means multiply

      "is" means "="

      So,

          x*18 = 9

           x = 9/18    [divide both sides by 18]

           x = 1/2

     Ans:  9 is 1/2 of 18

 

Problem:

  "What fraction of 18 is 14 over 3?"    means

            x          *  18 =  14/3

 

            x  = (14/3)/18                [divide both sides by 18]

            x  = (14/3)*(1/18)       [to divide by (18/1), multiply by (1/18)]

            x  = 7/27

 

     Ans:  14 over 3 is (7/27)^ths of 18.

Answer 2

We use the proportion for percentages. 

 

part / whole = percent / 100

 

(14 / 3) / 18 = percent / 100

 

14 / 54 = percent / 100

 

7 / 27 = percent / 100

 

 

Cross-multiplying,

 

27 * percent = 700

 

 

Divide both sides of the equation by 27 to solve for percent.