A comparison of
two numbers is
called a ratio.
Here are two numbers:
3 and 4
Here are two numbers:
3 and 4
We may write:
3 to 4
Here are two numbers:
3 and 4
We may write:
3 to 4
3:4
Here are two numbers:
3 and 4
We may write:
3 to 4
3:4
3
4
Here are two numbers:
75 and 100
Here are two numbers:
75 and 100
We may write:
75 to 100
Here are two numbers:
75 and 100
We may write:
75 to 100
75:100
Here are two numbers:
75 and 100
We may write:
75 to 100
75:100
75
100
We often choose to write
ratios in lowest terms.
75 = 3
100 4
A chewing gum company
used to state, "Four out of
five dentists recommend our
sugarless gum for their
patients that chew gum."
A chewing gum company
used to state, "Four out of
five dentists recommend our
sugarless gum for their
patients that chew gum."
Probably more than five
dentists were interviewed.
Ratios are often used to
compare quantities.
Ratios are often used to
compare quantities.
Such as:
3 feet to 4 feet
Ratios are often used to
compare quantities.
Such as:
3 feet to 4 feet
3 miles to 4 miles
Ratios are often used to
compare quantities.
Such as:
3 feet to 4 feet
3 miles to 4 miles
3 kg to 4 kg
3 feet to 4 inches
is not a ratio.
3 feet to 4 inches
is not a ratio.
3 feet
4 inches
3 feet to 4 inches
is not a ratio.
3 feet
36
inches
=
4 inches 4 inches
3 feet to 4 inches
is not a ratio.
3 feet
36
inches
=
4 inches 4 inches
3 feet to 4 inches
is not a ratio.
3 feet
36
inches
=
4 inches 4 inches
9
1
We have interviewed 42
Chicago baseball fans.
Twenty-four stated they
were Sox fans and
eighteen stated they
were Cubs fans.
We have interviewed 42
Chicago baseball fans.
Twenty-four stated they were
Sox fans and eighteen stated
they were Cubs fans.
The ratio of Sox fans to Cubs
fans is 24:18
We have interviewed 42
Chicago baseball fans.
Twenty-four stated they were
Sox fans and eighteen stated
they were Cubs fans.
The ratio of Sox fans to Cubs
fans is 24:18
In lowest terms it is 4:3
We have interviewed 42
Chicago baseball fans.
Twenty-four stated they were
Sox fans and eighteen stated
they were Cubs fans.
The ratio of Cubs fans to Sox
fans is 18:24
We have interviewed 42
Chicago baseball fans.
Twenty-four stated they were
Sox fans and eighteen stated
they were Cubs fans.
The ratio of Cubs fans to Sox
fans is 18:24
In lowest terms it is 3:4
The fraction, 3 , can be written
4
as 0.75, but if we are using it as
a ratio, we do not write 0.75.
4
The fraction, , can be written
3
1
as 13 , but if we are using it as a
ratio, we do not write 113 .
We often use percents when
working with ratios.
We often use percents when
working with ratios.
Percent means hundredths.
We often use percents when
working with ratios.
Percent means hundredths.
42%, then, mean 42 hundredths.
We often use percents when
working with ratios.
Percent means hundredths.
42%, then, mean 42 hundredths.
42
100
We often use percents when
working with ratios.
Percent means hundredths.
42%, then, mean 42 hundredths.
42 = 21
100 50
Rates have some similarities
with ratios, but they are not the
same.
Rates have some similarities
with ratios, but they are not the
same.
Ratios do not contain units.
Rates have some similarities
with ratios, but they are not the
same.
Ratios do not contain units.
Rates are measures that result
from dividing quantities of
different units.
Here is an example of a rate:
300 miles
6 hours
Here is an example of a rate:
300 miles = 50 miles
6 hours
1 hour
Here is an example of a rate:
300 miles = 50 miles
6 hours
1 hour
50 mph
Here is an example of a rate:
300 miles
5.5 hours
Here is an example of a rate:
300 miles = 600 miles
5.5 hours
11 hours
Here is an example of a rate:
300 miles = 54.54 miles
5.5 hours
1 hour
Here is an example of a rate:
300 miles = 54.54 miles
5.5 hours
1 hour
about 55 mph
Here some commonly used rates:
miles per hour (mph)
Here some commonly used rates:
miles per hour (mph)
kilometers per hour (k/h)
Here some commonly used rates:
miles per hour (mph)
kilometers per hour (k/h)
feet per second (ft./sec.)
Here some commonly used rates:
miles per hour (mph)
kilometers per hour (k/h)
feet per second (ft./sec.)
meters per second (m/s)
Here some commonly used rates:
miles per hour (mph)
kilometers per hour (k/h)
feet per second (ft./sec.)
meters per second (m/s)
miles per gallon (mpg)
A comparison of two
numbers is called a ratio.
Rates are measures that
result from dividing
quantities of different units.