Converting unit rates worksheet - Free Printable
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Step-by-step solution for: Converting unit rates worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Converting unit rates worksheet
Here's the complete solution to Lesson 3 Skills Practice: Convert Unit Rates, with step-by-step explanations for each problem. All answers are rounded to the nearest tenth where necessary.
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We convert minutes to seconds:
There are 60 seconds in a minute.
→ \( \frac{660 \text{ ft}}{1 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ s}} = \frac{660}{60} = 11.0 \) ft/s
✔ Answer: 11.0
---
Convert miles to feet and hours to seconds.
- 1 mile = 5280 feet
- 1 hour = 3600 seconds
→ \( \frac{25 \text{ mi}}{1 \text{ h}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ h}}{3600 \text{ s}} = \frac{25 \times 5280}{3600} = \frac{132000}{3600} ≈ 36.7 \) ft/s
✔ Answer: 36.7
---
Convert gallons to quarts and minutes to hours.
- 1 gallon = 4 quarts
- 1 hour = 60 minutes
→ \( \frac{32 \text{ gal}}{1 \text{ min}} \times \frac{4 \text{ qt}}{1 \text{ gal}} \times \frac{60 \text{ min}}{1 \text{ h}} = 32 × 4 × 60 = 7680 \) qt/h
✔ Answer: 7680.0
---
Convert feet to inches and hours to minutes.
- 1 foot = 12 inches
- 1 hour = 60 minutes
→ \( \frac{425 \text{ ft}}{1 \text{ h}} \times \frac{12 \text{ in}}{1 \text{ ft}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{425 × 12}{60} = \frac{5100}{60} = 85.0 \) in/min
✔ Answer: 85.0
---
Convert liters to milliliters and seconds to hours.
- 1 L = 1000 mL
- 1 hour = 3600 seconds
→ \( \frac{0.5 \text{ L}}{1 \text{ s}} \times \frac{1000 \text{ mL}}{1 \text{ L}} \times \frac{3600 \text{ s}}{1 \text{ h}} = 0.5 × 1000 × 3600 = 1,800,000 \) mL/h
✔ Answer: 1,800,000.0
---
Convert feet to miles and seconds to minutes.
- 1 mile = 5280 feet
- 1 minute = 60 seconds
→ \( \frac{60 \text{ ft}}{1 \text{ s}} \times \frac{1 \text{ mi}}{5280 \text{ ft}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{60 × 60}{5280} = \frac{3600}{5280} ≈ 0.7 \) mi/min
✔ Answer: 0.7
---
Convert miles to feet and hours to seconds.
- 1 mile = 5280 ft
- 1 hour = 3600 sec
→ \( \frac{3.4 \text{ mi}}{1 \text{ h}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ h}}{3600 \text{ s}} = \frac{3.4 × 5280}{3600} = \frac{17952}{3600} ≈ 5.0 \) ft/sec
✔ Answer: 5.0
---
Convert yards to feet and minutes to seconds.
- 1 yard = 3 feet
- 1 minute = 60 seconds
→ \( \frac{2.1 \text{ yd}}{1 \text{ min}} \times \frac{3 \text{ ft}}{1 \text{ yd}} \times \frac{1 \text{ min}}{60 \text{ s}} = \frac{2.1 × 3}{60} = \frac{6.3}{60} = 0.105 ≈ 0.1 \) ft/s
✔ Answer: 0.1
---
Convert pounds to ounces.
- 1 pound = 16 ounces
→ \( 5.6 \text{ lb/gal} × 16 \text{ oz/lb} = 89.6 \) oz/gal
✔ Answer: 89.6
---
Convert meters to centimeters and hours to minutes.
- 1 meter = 100 cm
- 1 hour = 60 minutes
→ \( \frac{4 \text{ m}}{1 \text{ h}} \times \frac{100 \text{ cm}}{1 \text{ m}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{4 × 100}{60} = \frac{400}{60} ≈ 6.7 \) cm/min
✔ Answer: 6.7
---
Convert centimeters to meters and seconds to minutes.
- 1 meter = 100 cm
- 1 minute = 60 seconds
→ \( \frac{42 \text{ cm}}{1 \text{ s}} \times \frac{1 \text{ m}}{100 \text{ cm}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{42 × 60}{100} = \frac{2520}{100} = 25.2 \) m/min
✔ Answer: 25.2
---
Convert hours to seconds.
- 1 hour = 3600 seconds
→ \( \frac{4500 \text{ ft}}{1 \text{ h}} \times \frac{1 \text{ h}}{3600 \text{ s}} = \frac{4500}{3600} = 1.25 ≈ 1.3 \) ft/s
✔ Answer: 1.3
---
Convert miles to feet and hours to minutes.
- 1 mile = 5280 ft
- 1 hour = 60 min
→ \( \frac{8 \text{ mi}}{1 \text{ h}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{8 × 5280}{60} = \frac{42240}{60} = 704.0 \) ft/min
✔ Answer: 704.0
---
Convert hours to minutes.
- 1 hour = 60 minutes
→ \( \frac{900 \text{ cm}}{1 \text{ h}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{900}{60} = 15.0 \) cm/min
✔ Answer: 15.0
---
Convert hours to minutes.
→ \( \frac{7.5 \text{ mi}}{1 \text{ h}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{7.5}{60} = 0.125 ≈ 0.1 \) mi/min
✔ Answer: 0.1
---
Convert gallons to pints and minutes to hours.
- 1 gallon = 8 pints
- 1 hour = 60 minutes
→ \( \frac{6 \text{ gal}}{1 \text{ min}} \times \frac{8 \text{ pt}}{1 \text{ gal}} \times \frac{60 \text{ min}}{1 \text{ h}} = 6 × 8 × 60 = 2880 \) pt/h
✔ Answer: 2880.0
---
## ✔ Final Answers Summary:
1. 11.0
2. 36.7
3. 7680.0
4. 85.0
5. 1,800,000.0
6. 0.7
7. 5.0
8. 0.1
9. 89.6
10. 6.7
11. 25.2
12. 1.3
13. 704.0
14. 15.0
15. 0.1
16. 2880.0
Let me know if you’d like a printable version or visual diagrams for any of these conversions!
---
1. 660 ft/min = ________ ft/s
We convert minutes to seconds:
There are 60 seconds in a minute.
→ \( \frac{660 \text{ ft}}{1 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ s}} = \frac{660}{60} = 11.0 \) ft/s
✔ Answer: 11.0
---
2. 25 mi/h ≈ ________ ft/s
Convert miles to feet and hours to seconds.
- 1 mile = 5280 feet
- 1 hour = 3600 seconds
→ \( \frac{25 \text{ mi}}{1 \text{ h}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ h}}{3600 \text{ s}} = \frac{25 \times 5280}{3600} = \frac{132000}{3600} ≈ 36.7 \) ft/s
✔ Answer: 36.7
---
3. 32 gal/min = ________ qt/h
Convert gallons to quarts and minutes to hours.
- 1 gallon = 4 quarts
- 1 hour = 60 minutes
→ \( \frac{32 \text{ gal}}{1 \text{ min}} \times \frac{4 \text{ qt}}{1 \text{ gal}} \times \frac{60 \text{ min}}{1 \text{ h}} = 32 × 4 × 60 = 7680 \) qt/h
✔ Answer: 7680.0
---
4. 425 ft/h = ________ in/min
Convert feet to inches and hours to minutes.
- 1 foot = 12 inches
- 1 hour = 60 minutes
→ \( \frac{425 \text{ ft}}{1 \text{ h}} \times \frac{12 \text{ in}}{1 \text{ ft}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{425 × 12}{60} = \frac{5100}{60} = 85.0 \) in/min
✔ Answer: 85.0
---
5. 0.5 L/s = ________ mL/h
Convert liters to milliliters and seconds to hours.
- 1 L = 1000 mL
- 1 hour = 3600 seconds
→ \( \frac{0.5 \text{ L}}{1 \text{ s}} \times \frac{1000 \text{ mL}}{1 \text{ L}} \times \frac{3600 \text{ s}}{1 \text{ h}} = 0.5 × 1000 × 3600 = 1,800,000 \) mL/h
✔ Answer: 1,800,000.0
---
6. 60 ft/s ≈ ________ mi/min
Convert feet to miles and seconds to minutes.
- 1 mile = 5280 feet
- 1 minute = 60 seconds
→ \( \frac{60 \text{ ft}}{1 \text{ s}} \times \frac{1 \text{ mi}}{5280 \text{ ft}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{60 × 60}{5280} = \frac{3600}{5280} ≈ 0.7 \) mi/min
✔ Answer: 0.7
---
7. 3.4 mi/h = ________ ft/sec
Convert miles to feet and hours to seconds.
- 1 mile = 5280 ft
- 1 hour = 3600 sec
→ \( \frac{3.4 \text{ mi}}{1 \text{ h}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ h}}{3600 \text{ s}} = \frac{3.4 × 5280}{3600} = \frac{17952}{3600} ≈ 5.0 \) ft/sec
✔ Answer: 5.0
---
8. 2.1 yd/min = ________ ft/s
Convert yards to feet and minutes to seconds.
- 1 yard = 3 feet
- 1 minute = 60 seconds
→ \( \frac{2.1 \text{ yd}}{1 \text{ min}} \times \frac{3 \text{ ft}}{1 \text{ yd}} \times \frac{1 \text{ min}}{60 \text{ s}} = \frac{2.1 × 3}{60} = \frac{6.3}{60} = 0.105 ≈ 0.1 \) ft/s
✔ Answer: 0.1
---
9. 5.6 lb/gal = ________ oz/gal
Convert pounds to ounces.
- 1 pound = 16 ounces
→ \( 5.6 \text{ lb/gal} × 16 \text{ oz/lb} = 89.6 \) oz/gal
✔ Answer: 89.6
---
10. 4 m/h = ________ cm/min
Convert meters to centimeters and hours to minutes.
- 1 meter = 100 cm
- 1 hour = 60 minutes
→ \( \frac{4 \text{ m}}{1 \text{ h}} \times \frac{100 \text{ cm}}{1 \text{ m}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{4 × 100}{60} = \frac{400}{60} ≈ 6.7 \) cm/min
✔ Answer: 6.7
---
11. 42 cm/s = ________ m/min
Convert centimeters to meters and seconds to minutes.
- 1 meter = 100 cm
- 1 minute = 60 seconds
→ \( \frac{42 \text{ cm}}{1 \text{ s}} \times \frac{1 \text{ m}}{100 \text{ cm}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{42 × 60}{100} = \frac{2520}{100} = 25.2 \) m/min
✔ Answer: 25.2
---
12. 4,500 ft/h = ________ ft/s
Convert hours to seconds.
- 1 hour = 3600 seconds
→ \( \frac{4500 \text{ ft}}{1 \text{ h}} \times \frac{1 \text{ h}}{3600 \text{ s}} = \frac{4500}{3600} = 1.25 ≈ 1.3 \) ft/s
✔ Answer: 1.3
---
13. 8 mi/h = ________ ft/min
Convert miles to feet and hours to minutes.
- 1 mile = 5280 ft
- 1 hour = 60 min
→ \( \frac{8 \text{ mi}}{1 \text{ h}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{8 × 5280}{60} = \frac{42240}{60} = 704.0 \) ft/min
✔ Answer: 704.0
---
14. 900 cm/h = ________ cm/min
Convert hours to minutes.
- 1 hour = 60 minutes
→ \( \frac{900 \text{ cm}}{1 \text{ h}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{900}{60} = 15.0 \) cm/min
✔ Answer: 15.0
---
15. JOGGING — Jarin jogs at 7.5 miles per hour. How many miles per minute?
Convert hours to minutes.
→ \( \frac{7.5 \text{ mi}}{1 \text{ h}} \times \frac{1 \text{ h}}{60 \text{ min}} = \frac{7.5}{60} = 0.125 ≈ 0.1 \) mi/min
✔ Answer: 0.1
---
16. BUCKETS — Alonzo fills buckets at 6 gallons per minute. What is the rate in pints per hour?
Convert gallons to pints and minutes to hours.
- 1 gallon = 8 pints
- 1 hour = 60 minutes
→ \( \frac{6 \text{ gal}}{1 \text{ min}} \times \frac{8 \text{ pt}}{1 \text{ gal}} \times \frac{60 \text{ min}}{1 \text{ h}} = 6 × 8 × 60 = 2880 \) pt/h
✔ Answer: 2880.0
---
## ✔ Final Answers Summary:
1. 11.0
2. 36.7
3. 7680.0
4. 85.0
5. 1,800,000.0
6. 0.7
7. 5.0
8. 0.1
9. 89.6
10. 6.7
11. 25.2
12. 1.3
13. 704.0
14. 15.0
15. 0.1
16. 2880.0
Let me know if you’d like a printable version or visual diagrams for any of these conversions!
Parent Tip: Review the logic above to help your child master the concept of convert unit rates worksheet answers.
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