Percent of a Number with Fractions and Mixed Numbers: Introduction

A% of B is __ To find A% of B:

You can change the percent to a fraction.

Find B divided the bottom.

Then multiply by the top.

By Jim Olsen, W.I.U.#P5

Find 50% of 80

50% of 80 is 40

• Change the percent to a fraction.

• Find B divided the bottom.

• Then multiply by the top.

A% of B is __

Find 75% of 20

75% of 20 is 15

• Change the percent to a fraction.

• Find B divided the bottom.

• Then multiply by the top.

A% of B is __

1

4

1

2

7

4

3

4

11

4

9

4

5

4

3

2

5

2

25% 250%50% 225%175%150%125%75% 275%100% 200% 300%

2

4

6

4

10

4

0%

This is also themixed number 1¼,but 5/4 is easier to use.

25% of 44 is what number?

What is 25% of 44

___ = 25% of 44

25% of 44 = ___

Find 25% of 44

The following are all asking the same question (and they can

all be done the same way).

Find 125% of 44

125% of 44 is 55

• Change the percent to a fraction.

• Find B divided the bottom.

• Then multiply by the top.

A% of B is __

Examples:1. Average monthly sales (over the past 2 years) have

been $40,000. Sales in January (a really good month) were 175% of the average. What were sales in January?

2. Find 150% of $60.

7 40,000175% of 40,000 (40,000) 7 10,000 7 $70,000

4 4

3 60150% of 60 (60) 3 30 3 $90

2 2

Examples:

1. Find 175% of $36.

2. Find 75% of $280

7 36175% of 36 (36) 7 9 7 $63

4 4

3 28075% of 280 (280) 3 70 3 $210

4 4

Examples:

1. Find 10% of $36.

2. Find 30% of $600

3. Find 20% of $1,500

1 3610% of 36 (36) $3.60

10 10

3 60030% of 600 (600) 3 60 3 $180

10 10

2 150020% of 1500 (1500) 2 150 2 $300

10 10

Closing Notes

Remember

To find A% of B = ___: Change the percent to a fraction. Find B divided the bottom. Then multiply by the top.

#P5