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33⅓% is 1/3

To find 33⅓% of a number divide by 3.
(Sometimes we round 33⅓% to 33%.)
33⅓ ¢
                                    33⅓ ¢
                                  + 33⅓ ¢
                                  $1.00



0%   33⅓%   66⅔%   100%   133⅓%

      1      2             4
      3      3      3      3
                    3
Find the percent

 1. 10 makes out of 30 attempts:
                                   10   1
                                            33⅓%
                                   30   3

 2. 40 yes votes on 60 ballots:
                                   40   2
                                            66⅔%
                                   60   3
Recall the strategy:
To find A% of B
You can change the percent to a fraction,
Find B divided by the bottom, then
Multiply by the top.

Find 66⅔% of 18

      2
                 2    18
   66 % of 18
      3            18    2 6 2 12
                 3     3
Find the number

 1. Find 33⅓% of 24.             1
                                   of 24   24 3 8
                                 3

 2. Find 66⅔% of 27.
                       2
                         of 27    (27 3) * 2   9 * 2 18
                       3


 3. Find 133⅓% of 150.
                   4
                     of 150 (150 3) * 4 50* 4        200
                   3
Examples:
 1. If the bill is $39 and the tip is $13,    13    1
    what percent was the tip?                           33 1 %
                                                           3
                                              39    3
 2. If sales are expected to be $240 and the actual sales
    were $320, what percent of 240 is 320?
                                     320     32    4
                                                     133 1 %
                                                         3
                                     240     24    3
 3. Total income is 6 million dollars. Taxes and fees are
    33%. How much goes to taxes and fees?
                                            2 million dollars
 4. We have 30 copies of the book and 67% have been
    checked out. How many have been checked out?
                                    two-thirds of 30 is 20
Closing Notes
 Remember 

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33 Percent is One-Third

  • 1. 33⅓% is 1/3 To find 33⅓% of a number divide by 3. (Sometimes we round 33⅓% to 33%.)
  • 2. 33⅓ ¢ 33⅓ ¢ + 33⅓ ¢ $1.00 0% 33⅓% 66⅔% 100% 133⅓% 1 2 4 3 3 3 3 3
  • 3. Find the percent 1. 10 makes out of 30 attempts: 10 1 33⅓% 30 3 2. 40 yes votes on 60 ballots: 40 2 66⅔% 60 3
  • 4. Recall the strategy: To find A% of B You can change the percent to a fraction, Find B divided by the bottom, then Multiply by the top. Find 66⅔% of 18 2 2 18 66 % of 18 3 18 2 6 2 12 3 3
  • 5. Find the number 1. Find 33⅓% of 24. 1 of 24 24 3 8 3 2. Find 66⅔% of 27. 2 of 27 (27 3) * 2 9 * 2 18 3 3. Find 133⅓% of 150. 4 of 150 (150 3) * 4 50* 4 200 3
  • 6. Examples: 1. If the bill is $39 and the tip is $13, 13 1 what percent was the tip? 33 1 % 3 39 3 2. If sales are expected to be $240 and the actual sales were $320, what percent of 240 is 320? 320 32 4 133 1 % 3 240 24 3 3. Total income is 6 million dollars. Taxes and fees are 33%. How much goes to taxes and fees? 2 million dollars 4. We have 30 copies of the book and 67% have been checked out. How many have been checked out? two-thirds of 30 is 20