1/6 is 16⅔ %

To find 16⅔% of a number divide by 6.

By Jim Olsen, W.I.U.#P15

23

116 % 16.6%

6

1

6

5

6

2

6

7

66

6

4

6

3

60

6 1

3

2

3

1

2

0% 16⅔% 33⅓% 50% 66⅔% 83⅓% 100% 116 ⅔%

16⅔¢16⅔¢16⅔¢16⅔¢16⅔¢16⅔¢

$1.00

33⅓¢

33⅓¢

33⅓¢ $1.00

Find the percent

1. $10 is what percent of $60?

2. 50 correct answers is what percent out of 60 questions?

13

50 583 %

60 6

23

10 116 %

60 6

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 83⅓% of 24

13

5 2483 % of 24 24 5 4 5 20

6 6

Here’s one that looks hard, but is quite easy if you know the strategy!

Find the number

1. Find 16⅔% of 180.

2. Find 116⅔% of 42.

3. Find 66⅔% of 990.

1 of 180 (180 6) 30

6

23

1116 % of 42 100% of 42 + 42 42 7 49

6

2 990 of 990 *2 330*2 660

3 3

Examples:

1. Zach consumed 2400 calories. 16⅔% were from protein. How many calories fromprotein did he consume?

2. If Jennifer makes 33⅓% of her three-point attempts and she shoots 90 shots, how many will she make?

2. If 83⅓% of the customers pay their electric bill on time and there are 4800 customers, how many pay their electric bill on time?

190 30

3

5 4800 of 4800 5 800 5 4000

6 6

1 2400 of 2400 4000

6 6

Closing Notes

Remember

1/6 is 16 ⅔% To find 16⅔% of a number divide

by 6.

#P15

RecapHere are the percents we know so far.

Fraction Percent1/2 50 %1/3 33⅓ %1/4 25 %1/5 20 %1/6 16⅔ %1/8 12½ %