Simplify each ratio below.

1
Simplify each ratio below.
Warm Up
(reduce)
4)
1)
2)
5)
3)
6)
2
REMEMBER

• No make-up work accepted unless you have 3 or
  more excused absences .
• If you were absent yesterday, you must stay
  today (during lunch or after school) to make up
  your math unit project.
• You will have a quiz on unit rate tomorrow.

3
Unit Rate
and
Unit Price
TAKE OUT A CALCULATOR!
4
Giant One
The Giant One is used to reduce rates.
A rate is in simplest form, or is reduced if the
numerator and denominator have no common factors
other than one.
5
Giant One
To find the simplest form divide the numerator
and denominator by the greatest common factor.
6
Converting Units
Change 10 feet to inches
Change 3 hours to minutes
Change 21 days to weeks
7
Simplify Each Ratio
1)
4)
2)
5)
3)
6)
8
Rate
Rate is a ratio that compares two quantities
with different units of measure.
To solve a rate you divide
Example 10 people read
50 pages
Unit Rate is a rate that is reduced to 1 unit
?
12.00


6 oz
1 oz
9
Rate
A comparison of a number to one in different
units.
Always written as a single number on a per unit
basis.
Always write the units.
Divide to simplify.
10
Simplify Each Rate
2)
1)
3)
4)
Notice all of the rates are written as
fractions and are in simplest form!
11
Unit Rate
Rates are simplified by writing them as a unit
rate.
A unit rate has a second term
that is a single unit.
Example 500 people go to 10 school dances.
12
Unit Rate
Amount per one
Find the Unit Rate.
1) 84 students in 4 classrooms
13
Unit Rate
Amount per one
Find the Unit Rate.
2) 30 for 6 lunches
14
Unit Rate
Amount per one
Find the Unit Rate.
3) 10,000 cars sold by 2000 dealers
15
Unit Price
Unit price is the same as unit rate, but you
divide the by the number of items.
Example For a dozen roses it costs 36.00.
What is the unit price?
16
Unit Price
Jenna buys 8 oranges for 2. What is her unit
price?
Unit Price Divide the by the amount
17
Unit Price
Michael buys 7 movie tickets for 42.00 What is
his unit price?
Unit Price Divide the by the amount
18
Unit Price
Which is the better deal?
20 oz. of orange juice for 1.35
1 quart (32 oz.) of orange juice for 2.40
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Unit Price
Which is the better deal?
A 16 oz box of cereal costs 2.89 and a 20 oz
box costs 3.49. Which is the better buy?
16 oz. of cereal for 2.89
20 oz. of cereal for 3.49
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That's all Folks!
Take out your Study Guide!
21
Ratio vs.
Rate
A comparison of two whole numbers in the same
units.
A comparison of a number to one in different
units.
Always written as a single number on a per unit
basis.
Always written as two numbers.
Never write the units.
Always write the units.
Reduce to simplify.
Divide to simplify.
22
Unit Rate
Unit Rate is a comparison of a number to one in
different units.
It is written as a
fraction. You divide to simplify and always
include units in your answer.
1) 120 students in 4 classrooms
2) 29 grams per cubic centimeter
Unit Rate is a rate that is reduced to 1 unit
23
Unit Price

• Unit price is the same as unit rate, but
• you divide the by the number of items.

Example For a dozen roses it costs 36.00.
What is the unit price?