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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