This worksheet, titled "Metric Conversions," provides practice problems for converting US customary units like feet, inches, and yards.

To solve these problems, we need to use the standard conversion rules for length in the US customary system.

Key Conversion Rules:
1. Feet to Yards: There are 3 feet in 1 yard.
* To convert feet (ft) to yards (yd), you divide by 3.
2. Inches to Feet: There are 12 inches in 1 foot.
* To convert inches (in) to feet (ft), you divide by 12.
3. Inches to Yards: There are 36 inches in 1 yard (because $12 \times 3 = 36$).
* To convert inches (in) to yards (yd), you divide by 36.

Let's go through each problem step-by-step:

1. 71 ft = ___ yd
* Divide 71 by 3.
* $71 \div 3 = 23$ with a remainder of 2.
* Answer: $23 \frac{2}{3}$ yd (or approx 23.67 yd)

2. 52 ft = ___ yd
* Divide 52 by 3.
* $52 \div 3 = 17$ with a remainder of 1.
* Answer: $17 \frac{1}{3}$ yd

3. 31 ft = ___ yd
* Divide 31 by 3.
* $31 \div 3 = 10$ with a remainder of 1.
* Answer: $10 \frac{1}{3}$ yd

4. 15 ft = ___ yd
* Divide 15 by 3.
* $15 \div 3 = 5$.
* Answer: 5 yd

5. 78 ft = ___ yd
* Divide 78 by 3.
* $78 \div 3 = 26$.
* Answer: 26 yd

6. 17 ft = ___ yd
* Divide 17 by 3.
* $17 \div 3 = 5$ with a remainder of 2.
* Answer: $5 \frac{2}{3}$ yd

7. 69 in = ___ yd
* Divide 69 by 36 (since there are 36 inches in a yard).
* $69 \div 36 = 1$ with a remainder of 33.
* Simplify fraction $\frac{33}{36}$ by dividing top and bottom by 3 -> $\frac{11}{12}$.
* Answer: $1 \frac{11}{12}$ yd

8. 63 in = ___ ft
* Divide 63 by 12.
* $63 \div 12 = 5$ with a remainder of 3.
* Simplify fraction $\frac{3}{12}$ -> $\frac{1}{4}$.
* Answer: $5 \frac{1}{4}$ ft (or 5.25 ft)

9. 93 in = ___ yd
* Divide 93 by 36.
* $93 \div 36 = 2$ with a remainder of 21 ($36 \times 2 = 72$; $93 - 72 = 21$).
* Simplify fraction $\frac{21}{36}$ by dividing by 3 -> $\frac{7}{12}$.
* Answer: $2 \frac{7}{12}$ yd

10. 70 ft = ___ yd
* Divide 70 by 3.
* $70 \div 3 = 23$ with a remainder of 1.
* Answer: $23 \frac{1}{3}$ yd

11. 14 in = ___ yd
* Divide 14 by 36.
* Fraction is $\frac{14}{36}$. Simplify by dividing by 2 -> $\frac{7}{18}$.
* Answer: $\frac{7}{18}$ yd

12. 94 ft = ___ yd
* Divide 94 by 3.
* $94 \div 3 = 31$ with a remainder of 1.
* Answer: $31 \frac{1}{3}$ yd

13. 45 ft = ___ yd
* Divide 45 by 3.
* $45 \div 3 = 15$.
* Answer: 15 yd

14. 21 in = ___ yd
* Divide 21 by 36.
* Fraction is $\frac{21}{36}$. Simplify by dividing by 3 -> $\frac{7}{12}$.
* Answer: $\frac{7}{12}$ yd

15. 33 in = ___ yd
* Divide 33 by 36.
* Fraction is $\frac{33}{36}$. Simplify by dividing by 3 -> $\frac{11}{12}$.
* Answer: $\frac{11}{12}$ yd

16. 61 ft = ___ yd
* Divide 61 by 3.
* $61 \div 3 = 20$ with a remainder of 1.
* Answer: $20 \frac{1}{3}$ yd

17. 31 in = ___ ft
* Divide 31 by 12.
* $31 \div 12 = 2$ with a remainder of 7.
* Answer: $2 \frac{7}{12}$ ft

18. 47 in = ___ yd
* Divide 47 by 36.
* $47 \div 36 = 1$ with a remainder of 11.
* Answer: $1 \frac{11}{36}$ yd

19. 66 in = ___ ft
* Divide 66 by 12.
* $66 \div 12 = 5$ with a remainder of 6.
* Simplify $\frac{6}{12}$ -> $\frac{1}{2}$.
* Answer: $5 \frac{1}{2}$ ft (or 5.5 ft)

20. 96 ft = ___ yd
* Divide 96 by 3.
* $96 \div 3 = 32$.
* Answer: 32 yd

21. 71 in = ___ yd
* Divide 71 by 36.
* $71 \div 36 = 1$ with a remainder of 35.
* Answer: $1 \frac{35}{36}$ yd

22. 75 ft = ___ yd
* Divide 75 by 3.
* $75 \div 3 = 25$.
* Answer: 25 yd

23. 77 ft = ___ yd
* Divide 77 by 3.
* $77 \div 3 = 25$ with a remainder of 2.
* Answer: $25 \frac{2}{3}$ yd

24. 35 ft = ___ yd
* Divide 35 by 3.
* $35 \div 3 = 11$ with a remainder of 2.
* Answer: $11 \frac{2}{3}$ yd

25. 43 in = ___ ft
* Divide 43 by 12.
* $43 \div 12 = 3$ with a remainder of 7.
* Answer: $3 \frac{7}{12}$ ft

26. 47 in = ___ ft
* Divide 47 by 12.
* $47 \div 12 = 3$ with a remainder of 11.
* Answer: $3 \frac{11}{12}$ ft

27. 18 ft = ___ yd
* Divide 18 by 3.
* $18 \div 3 = 6$.
* Answer: 6 yd

28. 97 in = ___ yd
* Divide 97 by 36.
* $97 \div 36 = 2$ with a remainder of 25 ($36 \times 2 = 72$; $97 - 72 = 25$).
* Answer: $2 \frac{25}{36}$ yd

29. 44 ft = ___ yd
* Divide 44 by 3.
* $44 \div 3 = 14$ with a remainder of 2.
* Answer: $14 \frac{2}{3}$ yd

30. 80 in = ___ ft
* Divide 80 by 12.
* $80 \div 12 = 6$ with a remainder of 8 ($12 \times 6 = 72$).
* Simplify fraction $\frac{8}{12}$ by dividing by 4 -> $\frac{2}{3}$.
* Answer: $6 \frac{2}{3}$ ft

Final Answer:
1. $23 \frac{2}{3}$ yd
2. $17 \frac{1}{3}$ yd
3. $10 \frac{1}{3}$ yd
4. 5 yd
5. 26 yd
6. $5 \frac{2}{3}$ yd
7. $1 \frac{11}{12}$ yd
8. $5 \frac{1}{4}$ ft
9. $2 \frac{7}{12}$ yd
10. $23 \frac{1}{3}$ yd
11. $\frac{7}{18}$ yd
12. $31 \frac{1}{3}$ yd
13. 15 yd
14. $\frac{7}{12}$ yd
15. $\frac{11}{12}$ yd
16. $20 \frac{1}{3}$ yd
17. $2 \frac{7}{12}$ ft
18. $1 \frac{11}{36}$ yd
19. $5 \frac{1}{2}$ ft
20. 32 yd
21. $1 \frac{35}{36}$ yd
22. 25 yd
23. $25 \frac{2}{3}$ yd
24. $11 \frac{2}{3}$ yd
25. $3 \frac{7}{12}$ ft
26. $3 \frac{11}{12}$ ft
27. 6 yd
28. $2 \frac{25}{36}$ yd
29. $14 \frac{2}{3}$ yd
30. $6 \frac{2}{3}$ ft