saeed bought 22 1/2 lb. of ground beef. he used 1/4 of the beef to make tacos and 2/3 of the remainder to make quarter pound burgers. How many burgers did he make?

(45/2 * 3/4 * 2/3) / 1/4 = ?

To find out how many burgers Saeed made, we'll follow a step-by-step process:

Step 1: Calculate how much beef Saeed used to make tacos.
- Saeed used 1/4 of the total 22 1/2 lb. of ground beef for tacos.
- To determine the amount used for tacos, multiply the total amount by 1/4:
22 1/2 lb. * 1/4 = 22/2 lb. * 1/4 = 22/8 lb. = 2 6/8 lb. = 2 3/4 lb.

Step 2: Determine the remaining beef after making tacos.
- Subtract the amount used for tacos from the total amount of beef:
22 1/2 lb. - 2 3/4 lb. = 22/2 lb. - 2 3/4 lb. = 22/2 lb. - 11/4 lb.
Convert both fractions to a common denominator (4):
22/2 lb. - 11/4 lb. = 44/4 lb. - 11/4 lb. = 33/4 lb. = 8 1/4 lb.

Step 3: Calculate how much beef Saeed used for quarter pound burgers.
- Saeed used 2/3 of the remaining beef to make quarter pound burgers.
- Multiply the remaining amount by 2/3:
(8 1/4 lb.) * (2/3) = (33/4 lb.) * (2/3) = 66/12 lb. = 5 1/2 lb.

Step 4: Determine the number of quarter pound burgers made.
- Divide the amount used for quarter pound burgers by the size of each burger, which is 1/4 lb:
(5 1/2 lb.) / (1/4 lb.) = (11/2 lb.) * (4/1 lb.) = 44/2 = 22.

Therefore, Saeed made 22 quarter pound burgers.