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Simplify each ratio below.
1)
2)
3)
4)
5)
6)
40
35
16
12
36 out of 42
24 to 6
3 weeks
5 days
32 inches
1 foot
(reduce)
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 2 2
10 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
1 120 in.
Change 3 hours to minutes
3 hours
1 180 min.
12 in. •
1 ft
60 min.•
1 hr
Change 21 days to weeks
21 days
1
21=
7
1 week•
7 days= 3 wks
1)
2)
3)
4)
5)
6)
50
15
10
3
24
18
4
3
12 out of 4012
40
3 10
18 to 318
3
6 1
4 weeks
4 days
28 days
4 days
28
4
7 1
16 inches
2 feet
16 inches
24 inches
16
24
2
3
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
RATE:
50 pages
10 people
UNIT RATE:
5
1
Unit Rate: is a rate that is reduced to 1 unit
$12.00 6 oz
=?
1 oz=
122
6
UNIT RATE:
$2 per oz.
300 mi.
5 hr. 60 mi. / 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.
1) 2)
3) 4)
40
35
8 7
16
12
4
3
36 out of 4236
42
6 7
24 to 624
6
4 1
1 1
7
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 dances50 peopl
1 d
e
ance
Amount per oneFind the Unit Rate.
1) 84 students in 4 classrooms
84 students
4 classrooms 21 students / classroom
Amount per oneFind the Unit Rate.
2) $30 for 6 lunches$30
6 lunches $5.00 / lunch
Amount per oneFind the Unit Rate.
3) 10,000 cars sold by 2000 dealers
10,000 cars
2000 dealers 5 cars /1 dealer
Unit price is the same as unit rate, butyou divide the $ by the number of items.
$
# of Items$36
12 =$3 per rose
Example: For a dozen roses it costs $36.00. What is the unit price?
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 quart (32 oz.) of orange juice for $2.40
$1.35
20 oz.$0.0675 / oz.
$2.40
32 oz.$0.075 / oz.
Which is the better deal?
16 oz. of cereal for $2.89
20 oz. of cereal for $3.49
$2.89
16 oz.$0.18 / oz. $3.49
20 oz.$0.17 / oz.
A 16 oz box of cereal costs $2.89 and a 20 oz box costs $3.49. Which is the better buy?
Ratio vs. Rate20 in.
3 ft.
20 in.
36 in.
5 9
A comparison of two whole numbers in thesame units.
300 mi.
5 hr. 60 mi. / hr.
A comparison of a number to one in different units.
Always written as two numbers.
Always written as a singlenumber on a per unit basis.
3
24 : 9 15 to 1
30.7 words / min .
3 children / family
Never write the units. Always write the units.Reduce to simplify. Divide to simplify.
1) 120 students in 4 classrooms120 students
4 classrooms
30 students 1 classroom
Unit Rate
4
4
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.
2) 29 grams per cubic centimeter
3
29 grams
1cmUnit Rate is a rate that is reduced to 1 unit
Unit PriceUnit price is the same as unit rate, butyou divide the $ by the number of items.
$
# of Items$36
12 =$3 per rose
Example: For a dozen roses it costs $36.00. What is the unit price?
