33⅓% is 1/3

To find 33⅓% of a number divide by 3.

(Sometimes we round 33⅓% to 33%.)

By Jim Olsen, W.I.U.#P11

1

3

2

3 3

3

4

3

33⅓% 0% 66⅔% 133⅓% 100%

33⅓ ¢33⅓ ¢

+ 33⅓ ¢ $1.00

Find the percent

1. 10 makes out of 30 attempts:

2. 40 yes votes on 60 ballots:

10 133 %

30 3 ⅓

40 266 %

60 3 ⅔

Recall the strategy:To find A% of BYou can change the percent to a fraction,Find B divided by the bottom, thenMultiply by the top.

Find 66⅔% of 18

23

2 1866 % of 18 18 2 6 2 12

3 3

Find the number

1. Find 33⅓% of 24.

2. Find 66⅔% of 27.

3. Find 133⅓% of 150.

1 of 24 24 3 8

3

2 of 27 (27 3)*2 9*2 18

3

4 of 150 (150 3)*4 50*4 200

3

Examples:

1. If the bill is $39 and the tip is $13, what percent was the tip?

2. If sales are expected to be $240 and the actual sales were $320, what percent of 240 is 320?

3. Total income is 6 million dollars. Taxes and fees are 33%. How much goes to taxes and fees?

4. We have 30 copies of the book and 67% have been checked out. How many have been checked out?

13

13 133 %

39 3

13

320 32 4133 %

240 24 3

2 million dollars

two-thirds of 30 is 20

Closing Notes Remember

33⅓% is 1/3 To find 33⅓% of a number divide

by 3.

To find 66⅔% of a number divide by 3 and double.

#P11