Customary Unit Conversion Worksheets, Practice Worksheets ... - Free Printable

Let's solve each of these customary unit conversion problems step by step. We'll convert between yards (yd), feet (ft), inches (in), and miles (mi) using the standard conversion factors:

Conversion Factors:

- 1 mile (mi) = 1760 yards (yd)
- 1 yard (yd) = 3 feet (ft)
- 1 foot (ft) = 12 inches (in)

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We’ll go through each problem one by one.

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1) 43,653 yd = ______ mi

Convert yards to miles:
$$
\frac{43,653}{1760} \approx 24.8028 \text{ mi}
$$

So, ≈ 24.80 mi (rounded to two decimal places)

✔ Answer: 24.80 mi

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2) 3 ft = ______ mi

First, convert feet to miles:
1 mi = 5280 ft →
$$
\frac{3}{5280} = 0.00056818 \text{ mi}
$$

So, ≈ 0.00057 mi (rounded to 6 decimal places)

✔ Answer: 0.00057 mi

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3) 39,290 ft = ______ mi

$$
\frac{39,290}{5280} \approx 7.4356 \text{ mi}
$$

✔ Answer: 7.44 mi (rounded to two decimal places)

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4) 1,027 yd = ______ mi

$$
\frac{1,027}{1760} \approx 0.5835 \text{ mi}
$$

✔ Answer: 0.58 mi (rounded to two decimal places)

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5) 7,250 ft = ______ yd

Since 1 yd = 3 ft:
$$
\frac{7,250}{3} \approx 2,416.67 \text{ yd}
$$

✔ Answer: 2,416.67 yd

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6) 11,629 yd = ______ mi

$$
\frac{11,629}{1760} \approx 6.6074 \text{ mi}
$$

✔ Answer: 6.61 mi (rounded to two decimal places)

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7) 94 yd = ______ mi

$$
\frac{94}{1760} \approx 0.0534 \text{ mi}
$$

✔ Answer: 0.05 mi (rounded to two decimal places)

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8) 32,398 in = ______ yd

Step 1: Convert inches to feet:
$$
\frac{32,398}{12} = 2,699.833... \text{ ft}
$$

Step 2: Convert feet to yards:
$$
\frac{2,699.833}{3} \approx 899.944 \text{ yd}
$$

✔ Answer: 899.94 yd (rounded to two decimal places)

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9) 6 yd = ______ mi

$$
\frac{6}{1760} \approx 0.00341 \text{ mi}
$$

✔ Answer: 0.0034 mi (rounded to four decimal places)

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10) 942 in = ______ ft

$$
\frac{942}{12} = 78.5 \text{ ft}
$$

✔ Answer: 78.5 ft

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11) 28,003 yd = ______ mi

$$
\frac{28,003}{1760} \approx 15.9108 \text{ mi}
$$

✔ Answer: 15.91 mi (rounded to two decimal places)

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12) 85,543 in = ______ mi

Step 1: Convert inches to feet:
$$
\frac{85,543}{12} = 7,128.5833 \text{ ft}
$$

Step 2: Convert feet to miles:
$$
\frac{7,128.5833}{5280} \approx 1.3505 \text{ mi}
$$

✔ Answer: 1.35 mi (rounded to two decimal places)

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 24.80 mi |
| 2) | 0.00057 mi |
| 3) | 7.44 mi |
| 4) | 0.58 mi |
| 5) | 2,416.67 yd |
| 6) | 6.61 mi |
| 7) | 0.05 mi |
| 8) | 899.94 yd |
| 9) | 0.0034 mi |
| 10) | 78.5 ft |
| 11) | 15.91 mi |
| 12) | 1.35 mi |

Let me know if you'd like this formatted as a printable worksheet or with more detailed steps!