Kate is making hamburgers for her friends and has 6 2/3 pounds of hamburger. How many 1/3-pound hamburgers can she make?
To find the answer, we need to divide the total amount of hamburger Kate has (6 2/3 pounds) by the amount she needs for each individual hamburger (1/3 pound).
First, we need to convert the mixed number of 6 2/3 into an improper fraction. To convert, we multiply the whole number 6 by the denominator of the fraction (3) and then add the result to the numerator (2). We then put the sum over the original denominator to get 20/3.
Now we can divide 20/3 pounds by 1/3 pound:
20/3 รท 1/3 = 20/3 x 3/1 = 20
Therefore, Kate can make 20 1/3-pound hamburgers from 6 2/3 pounds of hamburger.