1. POD
Write your own complex fraction that simplifies to ¼

2. POD
If Cole ran 12¼ miles on Sunday in 3½ hours, what what his speed in miles per hour?

3. POD
basic
advanced
After the first 15 games of the season, Stephen Curry had 31½ steals. How many steals per game did he have?
James Harden averages 27.2 points per game. A game is usually 48 minutes long. How many points per second does he average?

4. 1-3 Convert Unit Rates
Smaller
Larger
12 inches
1 foot
16 ounces
1 pound
8 pints
1 gallon
3 feet
1 yard
5,280 feet
1 mile
Smaller
Larger
100 centimeters
1 meter
1000 grams
1 kilogram
1000 milliliters
1 liter
10 millimeters
1 centimeter
1000 milligrams
1 gram
Each of these relationships in the tables can be written as a unit ratio.
12 inches
1 foot
16 ounces
1 pound
100 centimeters
1 meter

5. 1-3 Convert Unit Rates
Smaller
Larger
12 inches
1 foot
16 ounces
1 pound
8 pints
1 gallon
3 feet
1 yard
5,280 feet
1 mile
Smaller
Larger
100 centimeters
1 meter
1000 grams
1 kilogram
1000 milliliters
1 liter
10 millimeters
1 centimeter
1000 milligrams
1 gram
Each of these relationships in the tables can be written as a unit ratio.
12 inches
1 foot
16 ounces
1 pound
100 centimeters
1 meter

6. You must include units in your computation.
You can convert one rate to an equivalent rate by multiplying by a unit ratio or its reciprocal.
You must include units in your computation.
The process of including units of measure as factors when you compute is called dimensional analysis.
10 ft
1 s
10 ft
1 s
12 in
1 ft
10 × 12 in
1 s × 1
120 in.
1 s = × = =

7. Example
1.) A remote control car travels at a rate of 10 feet per second. How many inches per second is this?
12 in.
1 ft.
Use 1 foot = 12 inches. Multiply by
10 ft
1 s
10 ft
1 s
12 in
1 ft = ×
10 ft
1 s
12 in
1 ft = ×
Divide out common units =
10 × 12 in
1 s × 1
Simplify
120 in.
1 s =
Simplify

8. 2. ) A swordfish can swim at a rate of 60 miles per hour
2.) A swordfish can swim at a rate of 60 miles per hour. How may feet per hour is this?
60 mi
1 hr
5280 ft.
1 mi. =
60 mi
1 hr
5280 ft
1 mi ×
Multiply by
60 mi
1 hr
5280 ft
1 mi = ×
Divide out common units =
60 × 5280 ft
1 hr × 1
Simplify =
316,800 ft
1 hr
Simplify

9. 3. ) Marvin walks at a speed of 7 feet per second
3.) Marvin walks at a speed of 7 feet per second. How many feet per hour is this?
7 ft
1 s
60 s
1 min
60 min
1 h =
7 ft
1 s
60 s
1 min
60 min
1 h × ×
Multiply by
and =
7 ft
1 s
60 s
1 min
60 min
1 h × ×
Divide out common units =
7 × 60 × 60ft
1 ×1 × 1h
Simplify =
25,200 ft
1 hr
Simplify

10. 4. ) A gull can fly at a speed of 22 miles per hour
4.) A gull can fly at a speed of 22 miles per hour. About how many feet per hour can the gull fly?
22 mi
1 h
5280 ft
1 mi =
22 mi
1 h
5280ft
1 mi ×
Multiply by =
22 mi
1 h
5280 ft
1 mi ×
Divide out common units =
22 × 5280ft
1h × 1
Simplify =
116,160 ft
1 h
Simplify

11. 5. ) An Amtrak train travels at 125 miles per hour
5.) An Amtrak train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth.
1 h
60 min
125 mi
1 h
125 mi
1 h
1 h
60 min = ×
Multiply by =
125 mi
1 h
1 h
60 min ×
Divide out common units =
125 mi × 1
1 × 60 min
Simplify =
2.1 mi
1 min
Simplify