Multiplying a 2- or 3-digit number by 16 2/3

1. Select a 2-digit number. (Choose larger numbers when you feel sure about the method.)
2. Add two zeros to the number.
3. Divide by 6 (or by 2 and 3).

   Example:

1. The 2-digit number chosen to multiply by 16 2/3
   is 96.
2. Add two zeros: 9600.
3. Divide by 3: 9600/3 = 3200. (9600 is divisible by 3 because the sum of its digits is divisible by 3.)
4. Divide by 2: 3200/2 = 1600.
5. So 96 x 16 2/3 = 1600.

   See the pattern?

1. If the 2-digit number chosen to multiply by 16 2/3
   is 76:
2. Add two zeros: 7600.
3. Divide by 2: 7600/2 = 3800.
4. Divide by 3: 3800 / 3 = 1266 2/3.
5. So 76 x 16 2/3 = 1266 2/3.

Test the number to see if it is divisible by 3. If not, divide by 2 first. With some practice you will become adept at multiplying by 16 2/3