Download A Write Ratios as Fractions C Find Unit Rates B Write

Professor Busken – 6.1 Ratios and Rates
1
Objectives:
A Write Ratios as Fractions
C Find Unit Rates
B Write Rates as Fractions
D Find Unit Prices
Definition 1. A ratio is the quotient of two quantities. We write the ratio of 3 to 4 as
3 to 4 or
3
or 3:4.
4
However, we will use fraction notation
to write
ratios. Suppose a and b are both nonzero
a
b
numbers. The ratio of a to b is
not
.
b
a
Write each ratio as a fraction in simplest form.
1.
6 to 24
1.
2.
2 to 12
2.
3.
2
4.
1.68 miles to 4.8 miles
4.
5.
37 gallons to 0.001 gallons
5.
6.
1.6 meters to 0.16 meters
6.
13
2
to 1
3
15
3.
Definition 2. A rate is a special type of kind of ratio. It is used to compare different
kinds of quantities. Whenever we write rates as fractions we always include the units.
For example, a recreational runner can run 4 miles in 44 minutes. We can write this rate
as the fraction
4 miles
1 miles
=
.
44 minutes
11 minutes
Write each rate as a fraction in simplest form.
7.
295 miles on 15 gallons
7.
Professor Busken – 6.1 Ratios and Rates
2
Write the rate as a fraction in simplest form.
8.
$1350 for 6 weeks
8.
Definition 3. A unit rate is a rate that has a denominator of 1.
For instance, 65 miles per hour is a unit rate.
65 miles
1hour
Writing a Rate as a Unit Rate
To write a rate as a unit rate, we simply divide the numerator of the rate by the denominator.
Write each rate as a unit rate.
9.
10.
480 calories in 8 ounces
9.
520 miles in 8 hours
10.
Definition 4. When a unit rate is ”money per item,” it is also called a unit price.
unit price =
price
number of units
For example, suppose a store charges $2.76 for a 12-ounce jar of pickles. What is the
unit price?
$0.23
$2.76
=
unit price =
12 ounces
1 ounces
So, the store charges $0.23 per ounce.
Find each unit price and decide which is a better buy.
11.
Treated lumber: $3.79 for an 8-foot board or $6.18 for a 12-foot11.
board.
12.
50 aspirin tablets for $3.79 or 100 aspirin tablets for $5.85.
12.