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POD

POD. Write your own complex fraction that simplifies to ¼. POD. Day 2. If Cole ran 12 miles on Sunday, how many feet did he run?. POD. Day 3. Math Experiment! Let’s put it into practice. 1-3 Convert Unit Rates. Each of these relationships in the tables can be written as a unit ratio .

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POD

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

  2. POD Day 2 If Cole ran 12 miles on Sunday, how many feet did he run?

  3. POD Day 3 Math Experiment! Let’s put it into practice.

  4. 1-3 Convert Unit Rates 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. 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 1ft 10 × 12 in 1 s × 1 120 in. 1 s = × = =

  6. 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 1ft = × Divide out common units = 10 × 12 in 1 s × 1 Simplify 120 in. 1 s = Simplify

  7. 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

  8. 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 = × and × Multiply by = 7 ft 1s 60s 1 min 60 min 1 h Divide out common units × × = 7 × 60 × 60ft 1 ×1 × 1h Simplify = 25,200 ft 1 hr Simplify

  9. 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 5280ft 1 mi = 22 mi 1 h × Multiply by = 22 mi 1h 5280 ft 1 mi Divide out common units × = 22 × 5280ft 1h × 1 Simplify = 116,160 ft 1 h Simplify

  10. 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 1 h 60 min 125 mi 1 h = × Multiply by = 125 mi 1h 1h 60 min Divide out common units × = 125 mi × 1 1 × 60 min Simplify = 2.1 mi 1 min Simplify

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