PO D Write your own complex fraction that simplifies to ¼

PO D If Cole ran 12¼ miles on Sunday in 3½ hours, what what his speed in miles per hour?

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

1-3 Convert Unit Rates SmallerLarger 12 inches1 foot 16 ounces1 pound 8 pints1 gallon 3 feet1 yard 5,280 feet1 mile SmallerLarger 100 centimeters1 meter 1000 grams1 kilogram 1000 milliliters1 liter 10 millimeters1 centimeter 1000 milligrams1 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

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

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

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

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

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 = 22 mi 1 h × 5280ft 1 mi 22 × 5280ft 1h × 1 = = = 116,160 ft 1 h Multiply by 5280 ft 1 mi Divide out common units Simplify 22 mi 1 h × 5280 ft 1 mi

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

PO D basic It’s estimated that Jimmy Butler runs 3.1 miles per game. How many feet per game does he run? advanced Cam Newton averages about 233 passing yards per game. How many inches per game does he average? 3.1 mi 1 g 5280 ft 1 mi × 3.1 mi 1 g × 5280 ft 1 mi ft. 1 g 233 yds 1 g 3 ft 1 yd × 233 yds 1 g × 3 ft 1 yd 8388 in. 1 g 12 in 1 ft 12 in 1 ft × ×

SmallerLarger 12 inches1 foot 16 ounces1 pound 8 pints1 gallon 3 feet1 yard 5,280 feet1 mile SmallerLarger 100 centimeters1 meter 1000 grams1 kilogram 1000 milliliters1 liter 10 millimeters1 centimeter 1000 milligrams1 gram

Length: 1 ft. = 12 in. 1 yd. = 3 ft. 1 mi. = 5,280 ft. 1 mi. = 1,760 yd.

Liquid Measures: 1 pint= 2 cups 1 quart = 2 pints 1 gallon = 8 pints 1 gallon = 4 quarts

Weight Measures: 1 lb. = 16 oz. 1 ton = 2,000 lbs.

Time Measures: 60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day 7 days = 1 week days = 1 year 10 years = 1 decade 100 years = 1 century

Abbreviation Unit of Measurement doz.dozen F. Fahrenheit fl. oz.fluid ounce ft. foot gal. gallon in. Inch lb.pound mi.mile mphmiles per hour n.m.nautical miles oz. ounce pt. pint qt. quart T ton tbsp.tablespoon tsp.teaspoon yd. yard

12 ft 6 ft