Transcript ratio (reduce) 4) 1)

Simplify each ratio below.
(reduce)
40
1)
35
4) 24 to 6
16
2)
12
3 weeks
5)
5 days
3) 36 out of 42
32
inches
6)
1 foot
1) No make-up work accepted unless you
have 3 or more excused absences .
2) If you were absent yesterday, you must stay
today (during lunch or after school) to make
up your math unit project.
3) You will have a quiz on unit rate tomorrow.
TAKE
OUT
A
CALCULATOR!
The Giant One is used to reduce rates.
4

10
2
2

2
5
A rate is in simplest form, or is reduced if
the numerator and denominator have no
common factors other than one.
3 1
3
 
4 1
4
To find the simplest form divide
the numerator and denominator by
the greatest common factor.
12 6
2
 
18 6
3
Change 10 feet
to inches
10 ft 12 in.
•
1 ft
1
 120 in.
Change 3 hours
to minutes
3 hours 60 min.
•
1
1 hr
Change 21 days
to weeks
21
21 days 1 week
•
=
= 3 wks
7
7 days
1
 180 min.
10
50

1)
3
15
24
4
2)

18
3
3) 12 out of 40
3
12

10
40
4) 18 to 3
18
6

3
1
4 weeks 28 days

5)
4 days
4 days
7
28

1
4
6) 16 inches  16 inches
2 feet
24 inches
16
2

24
3
Rate: is a ratio that compares two quantities with
different units of measure. To solve a rate you divide
RATE:
10 people
50 pages
read 50 pages 10 people
Example:
UNIT RATE:
5
1
Unit Rate: is a rate that is reduced to 1 unit
?
$12.00
=
6 oz
1 oz
12
2
=
6
UNIT RATE:
$2 per oz.
300 mi.
 60 mi./ hr.
5 hr.
A comparison of a number to one in different units.
Always written as a single number on a per unit basis.
30.7 words / min.
3 children / family
Always write the units.
Divide to simplify.
40
8
1

1)
 1
35
7
7
3) 36 out of 42
36
6

42
7
16
4
2)

3
12
4) 24 to 6
24
4

6
1
Notice all of the rates are written as
fractions and are in simplest form!
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.
500 people
10 dances
50 people

1 dance
Find the Unit Rate.
Amount per one
1) 84 students in 4 classrooms
84 students
 21 students / classroom
4 classrooms
Find the Unit Rate.
Amount per one
2) $30 for 6 lunches
$30
 $5.00/ lunch
6 lunches
Find the Unit Rate.
Amount per one
3) 10,000 cars sold by 2000 dealers
10, 000 cars
 5 cars /1 dealer
2000 dealers
Unit price is the same as unit rate, but
you divide the $ by the number of items.
For a dozen roses it costs
$36.00. What is the unit price?
Example:
$
$36

12
# of Items
=$3 per rose
Jenna buys 8 oranges for $2. What is her
unit price?
Unit Price: Divide the $ by the amount
$2
8 oranges
 $0.25 / orange
Michael buys 7 movie tickets for $42.00
What is his unit price?
Unit Price: Divide the $ by the amount
$42
7 tickets
 $6 / movie ticket
Which is the better deal?
20 oz. of orange
juice for $1.35
$1.35
 $0.0675/ oz.
20 oz.
1 quart (32 oz.) of
orange juice for $2.40
$2.40
 $0.075/ oz.
32 oz.
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
$2.89
16 oz.
 $0.18/ oz.
20 oz. of cereal
for $3.49
$3.49  $0.17 / oz.
20 oz.
Ratio
vs.
20 in. 20 in.
5


3 ft.
36 in.
9
A comparison of two
whole numbers in the
same units.
Always written as
two numbers.
3
4 : 9 15 to 1
2
Never write the units.
Reduce to simplify.
Rate
300 mi.
 60 mi./ hr.
5 hr.
A comparison of a number
to one in different units.
Always written as a single
number on a per unit basis.
30.7 words / min.
3 children / family
Always write the units.
Divide to simplify.
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
30 students
120 students
4

1 classroom
4 classrooms
4
2) 29 grams per cubic centimeter
29 grams
Unit Rate is a rate that
is reduced to 1 unit
1cm3
Unit Price
Unit price is the same as unit rate, but
you divide the $ by the number of items.
For a dozen roses it costs
$36.00. What is the unit price?
Example:
$
$36

12
# of Items
=$3 per rose