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Ratios & Rates

Solving Proportions

Percents & Fractions

Percents &Decimals

Percent of a Number

Write the following as a ratio in three different

ways:

15 peanut butter cookies in a bag of 34 cookies

15 to 34

15:34

15

34

Express the ratio as a fraction in simplest

form:

10 emeralds out of 25 gems

10 2

25 5

Express the ratio as a fraction in simplest

form:

16 states visited out of 50 states

16 8

50 25

Express the ratio as a rate:

79.8 miles on 3 gallons of gas

79.8 26.6

3 1

26.6 miles per gallon

Express the ratio ten oranges for two dollars as a rate.

5 oranges per dollar

10 5

2 1

Fill-in the Blank:

The cross products of a proportion are ______.

EQUAL

Use cross products to determine whether the pair

of ratios forms a proportion:

7 8,

12 15

7 x 15 = 105

8 x 12 = 96

105 doesn’t equal 96 therefore the ratios

don’t form a proportion

Solve the proportion:

24

5 40

d

5 x 24 = 120

40d= 120

d=3

Solve the proportion:

3

5 85

c

3 x 85 = 255

5c = 255

c = 51

Suppose Maria can read 15 pages in 20

minutes. How long will it take Maria to read

180 pages?

20 x 180 = 3600

3600 ÷ 15 = 240 mins.

t = 240 mins

15 180

20 t

Fill-in the Blank:

A percent is a ratio that compares a number to ___.

100

Express the percent as a fraction in simplest

form.

55%

55 11

100 20

According to a survey, 36% of consumers prefer to buy a personal computer at an

electronic store. What fraction does this

represent?

36 9

100 25

Express the fraction as a percent:

17

20

8585%

100

How is forty-five hundredths written as a

percent?

4545%

100

Express the percent as a decimal:

81%

0.81

Express the percent as a

decimal:

46%

0.46

Express the percent as a decimal:

0.8%

0.008

Express each decimal as a percent:

0.175

17.5%

How is eighteen thousandths written

as a percent?

0.018 = 1.8%

The word of in the following problem tells

you to use which operation?

Find 24% of 250.

MULTIPLICATION

Find 100% of 137.

137

What is 60% of 365?

0.6 x 365 = 219

What is eight-tenths percent of eight

hundred?

0.8% of 800

0.008 x 800 = 6.4

The Fitch High School softball team won 88% of their games. If they played 25 games, how many games did they

win?

88% of 25

0.88 x 25 = 22 games