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Percent of a Number with Fractions and
Mixed Numbers: Revisiting
A% of B is __
To find A% of B:
You can change the percent to a fraction
(or mixed number).
Find B divided the bottom.
Then multiply by the top.

A% of B is __

• Change the percent to a
fraction.
• Find B divided the
bottom.
• Then multiply by the
top.

A% of B is __
• Find 60% of 35
3
• 60% =
5
3
• of 35 • Change the percent to a
5
fraction.
35
• 7 • Find B divided the
5
bottom.
• 7 3 21 • Then multiply by the
top.
• 60% of 35 = 21

A% of B is __
• Find 137.5% of 16
11
• 137.5% =
8
11
• of 16 • Change the percent to a
8
fraction.
16
• 2 • Find B divided the
8
bottom.
• 2 11 22 • Then multiply by the
top.
• 137.5% of 16 = 22

A% of B is __
Mixed number approach:
• Find 137.5% of 16
3
• 137.5% = 1
8
3 • Change the percent to a
• of 16 mixed number.
8
16 • Find B divided the
• 3 2 3 6 bottom.
8
3 • Then multiply by the
• 1 of 16 16 6 22
top.
8
• 137.5% of 16 = 22 • Take “all” of it and add
on the fractional part.

A% of B is __
Mixed number approach:

• Find 250% of 12
• Change the percent to a
1 mixed number.
• 250% = 2
2 • Find B divided the
1 bottom.
• of 12 6
2 • Then multiply by the
1
• 2 of 12 2 12 6 24 6 30 top.
2
• Take “all” of it and add
• 250% of 12 = 30 on the fractional part.

Recap
Here are the percents we know so far.

Fraction Percent
1/2 50 %
1/3 33⅓ %
1/4 25 %
1/5 20 %
1/8 12½ %
3
and the multiples, such as 60%
5

Examples:
1. Average number of patients at the health clinic (over
the past 3 years) has been 400 per month. This year,
in March, there were 175% of the average. How
many patients were there in March?
3 400
175% of 400 1 (400) 400 3 400 300 700
4 4

2. Find 66⅔% of $180.
2
2 180
66 % of 180
3 (180) 2 60 2 120
3 3

Closing Notes
 Remember 

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A percent of B Revisted

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