Converting unit rates worksheet - Free Printable

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 as instructed.

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1. 660 ft/min = ________ ft/s

We convert minutes to seconds.
There are 60 seconds in a minute.

> 660 ft/min ÷ 60 = 11.0 ft/s

✔ Answer: 11.0

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2. 25 mi/h ≈ ________ ft/s

First, convert miles to feet:
1 mile = 5280 feet → 25 mi = 25 × 5280 = 132,000 ft

Then convert hours to seconds:
1 hour = 3600 seconds

> 132,000 ft / 3600 s ≈ 36.7 ft/s

✔ Answer: 36.7

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3. 32 gal/min = ________ qt/h

Convert gallons to quarts:
1 gallon = 4 quarts → 32 gal = 32 × 4 = 128 qt

Convert minutes to hours:
1 min = 1/60 hour → so per hour, multiply by 60

> 128 qt/min × 60 = 7,680.0 qt/h

✔ Answer: 7680.0

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4. 425 ft/h = ________ in/min

Convert feet to inches:
1 ft = 12 in → 425 ft = 425 × 12 = 5,100 in

Convert hours to minutes:
1 hour = 60 min → divide by 60

> 5,100 in / 60 min = 85.0 in/min

✔ Answer: 85.0

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5. 0.5 L/s = ________ mL/h

Convert liters to milliliters:
1 L = 1000 mL → 0.5 L = 500 mL

Convert seconds to hours:
1 hour = 3600 seconds → multiply by 3600

> 500 mL/s × 3600 = 1,800,000.0 mL/h

✔ Answer: 1800000.0

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6. 60 ft/s ≈ ________ mi/min

Convert feet to miles:
1 mile = 5280 ft → 60 ft = 60/5280 mi ≈ 0.01136 mi

Convert seconds to minutes:
1 min = 60 sec → multiply by 60

> 0.01136 mi/s × 60 ≈ 0.7 mi/min

✔ Answer: 0.7

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7. 3.4 mi/h = ________ ft/sec

Convert miles to feet:
3.4 mi × 5280 ft/mi = 17,952 ft

Convert hours to seconds:
1 h = 3600 s

> 17,952 ft / 3600 s ≈ 5.0 ft/sec

✔ Answer: 5.0

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8. 2.1 yd/min = ________ ft/s

Convert yards to feet:
1 yd = 3 ft → 2.1 yd = 6.3 ft

Convert minutes to seconds:
1 min = 60 s

> 6.3 ft / 60 s = 0.1 ft/s

✔ Answer: 0.1

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9. 5.6 lb/gal = ________ oz/gal

Convert pounds to ounces:
1 lb = 16 oz → 5.6 lb = 5.6 × 16 = 89.6 oz

Since it’s per gallon, units stay the same.

✔ Answer: 89.6

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10. 4 m/h = ________ cm/min

Convert meters to centimeters:
1 m = 100 cm → 4 m = 400 cm

Convert hours to minutes:
1 h = 60 min → divide by 60

> 400 cm / 60 min ≈ 6.7 cm/min

✔ Answer: 6.7

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11. 42 cm/s = ________ m/min

Convert cm to m:
1 m = 100 cm → 42 cm = 0.42 m

Convert seconds to minutes:
1 min = 60 s → multiply by 60

> 0.42 m/s × 60 = 25.2 m/min

✔ Answer: 25.2

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12. 4,500 ft/h = ________ ft/s

Convert hours to seconds:
1 h = 3600 s

> 4,500 ft / 3600 s = 1.3 ft/s (rounded to nearest tenth)

✔ Answer: 1.3

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13. 8 mi/h = ________ ft/min

Convert miles to feet:
8 mi × 5280 ft/mi = 42,240 ft

Convert hours to minutes:
1 h = 60 min → divide by 60

> 42,240 ft / 60 min = 704.0 ft/min

✔ Answer: 704.0

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14. 900 cm/h = ________ cm/min

Convert hours to minutes:
1 h = 60 min → divide by 60

> 900 cm / 60 min = 15.0 cm/min

✔ Answer: 15.0

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15. JOGGING: Jarin jogs at a rate of 7.5 miles per hour. How many miles per minute does Jarin jog?

Convert hours to minutes:
1 hour = 60 minutes

> 7.5 mi/h ÷ 60 = 0.125 mi/min → rounded to nearest tenth = 0.1 mi/min

✔ Answer: 0.1

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16. BUCKETS: Alonzo fills buckets at a rate of 6 gallons per minute. What is the rate in pints per hour?

Convert gallons to pints:
1 gallon = 8 pints → 6 gal = 6 × 8 = 48 pints per minute

Convert minutes to hours:
1 hour = 60 minutes → multiply by 60

> 48 pints/min × 60 = 2,880.0 pints/hour

✔ Answer: 2880.0

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## ✔ Final Answers Summary:

1. 11.0
2. 36.7
3. 7680.0
4. 85.0
5. 1800000.0
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

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