POD Write your own complex fraction that simplifies to ¼
POD If Cole ran 12¼ miles on Sunday in 3½ hours, what what his speed in miles per hour?
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?
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
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
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 = × = =
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
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
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
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
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