Measurement Worksheets | Dynamically Created Measurement Worksheets - Free Printable

Problem: Converting Feet and Inches

The task involves converting measurements between feet and inches. Here's how to solve each part step by step:

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#### Part 1: Convert to Inches

We know that:
- 1 foot = 12 inches

To convert a measurement from feet and inches to just inches, we multiply the number of feet by 12 and then add the remaining inches.

##### Step-by-Step Solutions:

1. 4 feet 8 1/8 inches
- Convert feet to inches: \( 4 \times 12 = 48 \) inches
- Add the remaining inches: \( 48 + 8 \frac{1}{8} = 48 + 8 + \frac{1}{8} = 56 \frac{1}{8} \)
- Answer: \( 56 \frac{1}{8} \) inches

2. 7 feet 1 1/2 inches
- Convert feet to inches: \( 7 \times 12 = 84 \) inches
- Add the remaining inches: \( 84 + 1 \frac{1}{2} = 84 + 1 + \frac{1}{2} = 85 \frac{1}{2} \)
- Answer: \( 85 \frac{1}{2} \) inches

3. 3 feet 11 7/8 inches
- Convert feet to inches: \( 3 \times 12 = 36 \) inches
- Add the remaining inches: \( 36 + 11 \frac{7}{8} = 36 + 11 + \frac{7}{8} = 47 \frac{7}{8} \)
- Answer: \( 47 \frac{7}{8} \) inches

4. 5 feet 10 1/2 inches
- Convert feet to inches: \( 5 \times 12 = 60 \) inches
- Add the remaining inches: \( 60 + 10 \frac{1}{2} = 60 + 10 + \frac{1}{2} = 70 \frac{1}{2} \)
- Answer: \( 70 \frac{1}{2} \) inches

5. 3 feet 1 1/16 inches
- Convert feet to inches: \( 3 \times 12 = 36 \) inches
- Add the remaining inches: \( 36 + 1 \frac{1}{16} = 36 + 1 + \frac{1}{16} = 37 \frac{1}{16} \)
- Answer: \( 37 \frac{1}{16} \) inches

6. 7 feet 8 3/8 inches
- Convert feet to inches: \( 7 \times 12 = 84 \) inches
- Add the remaining inches: \( 84 + 8 \frac{3}{8} = 84 + 8 + \frac{3}{8} = 92 \frac{3}{8} \)
- Answer: \( 92 \frac{3}{8} \) inches

7. 6 feet 7 1/8 inches
- Convert feet to inches: \( 6 \times 12 = 72 \) inches
- Add the remaining inches: \( 72 + 7 \frac{1}{8} = 72 + 7 + \frac{1}{8} = 79 \frac{1}{8} \)
- Answer: \( 79 \frac{1}{8} \) inches

8. 5 feet 9 1/2 inches
- Convert feet to inches: \( 5 \times 12 = 60 \) inches
- Add the remaining inches: \( 60 + 9 \frac{1}{2} = 60 + 9 + \frac{1}{2} = 69 \frac{1}{2} \)
- Answer: \( 69 \frac{1}{2} \) inches

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#### Part 2: Convert to Feet and Inches

To convert a measurement from inches to feet and inches:
1. Divide the total number of inches by 12.
2. The quotient is the number of feet.
3. The remainder is the number of inches.

##### Step-by-Step Solutions:

9. 93 3/8 inches
- Divide by 12: \( 93 \div 12 = 7 \) with a remainder of \( 9 \)
- Convert the fractional part: \( \frac{3}{8} \) remains as it is.
- Answer: \( 7 \) feet \( 9 \frac{3}{8} \) inches

10. 78 5/8 inches
- Divide by 12: \( 78 \div 12 = 6 \) with a remainder of \( 6 \)
- Convert the fractional part: \( \frac{5}{8} \) remains as it is.
- Answer: \( 6 \) feet \( 6 \frac{5}{8} \) inches

11. 114 3/8 inches
- Divide by 12: \( 114 \div 12 = 9 \) with a remainder of \( 6 \)
- Convert the fractional part: \( \frac{3}{8} \) remains as it is.
- Answer: \( 9 \) feet \( 6 \frac{3}{8} \) inches

12. 100 3/4 inches
- Divide by 12: \( 100 \div 12 = 8 \) with a remainder of \( 4 \)
- Convert the fractional part: \( \frac{3}{4} \) remains as it is.
- Answer: \( 8 \) feet \( 4 \frac{3}{4} \) inches

13. 28 3/8 inches
- Divide by 12: \( 28 \div 12 = 2 \) with a remainder of \( 4 \)
- Convert the fractional part: \( \frac{3}{8} \) remains as it is.
- Answer: \( 2 \) feet \( 4 \frac{3}{8} \) inches

14. 86 3/4 inches
- Divide by 12: \( 86 \div 12 = 7 \) with a remainder of \( 2 \)
- Convert the fractional part: \( \frac{3}{4} \) remains as it is.
- Answer: \( 7 \) feet \( 2 \frac{3}{4} \) inches

15. 77 3/4 inches
- Divide by 12: \( 77 \div 12 = 6 \) with a remainder of \( 5 \)
- Convert the fractional part: \( \frac{3}{4} \) remains as it is.
- Answer: \( 6 \) feet \( 5 \frac{3}{4} \) inches

16. 89 1/4 inches
- Divide by 12: \( 89 \div 12 = 7 \) with a remainder of \( 5 \)
- Convert the fractional part: \( \frac{1}{4} \) remains as it is.
- Answer: \( 7 \) feet \( 5 \frac{1}{4} \) inches

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Final Answers:

1. \( 56 \frac{1}{8} \) inches
2. \( 85 \frac{1}{2} \) inches
3. \( 47 \frac{7}{8} \) inches
4. \( 70 \frac{1}{2} \) inches
5. \( 37 \frac{1}{16} \) inches
6. \( 92 \frac{3}{8} \) inches
7. \( 79 \frac{1}{8} \) inches
8. \( 69 \frac{1}{2} \) inches
9. \( 7 \) feet \( 9 \frac{3}{8} \) inches
10. \( 6 \) feet \( 6 \frac{5}{8} \) inches
11. \( 9 \) feet \( 6 \frac{3}{8} \) inches
12. \( 8 \) feet \( 4 \frac{3}{4} \) inches
13. \( 2 \) feet \( 4 \frac{3}{8} \) inches
14. \( 7 \) feet \( 2 \frac{3}{4} \) inches
15. \( 6 \) feet \( 5 \frac{3}{4} \) inches
16. \( 7 \) feet \( 5 \frac{1}{4} \) inches

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 56 \frac{1}{8} \\
2. & 85 \frac{1}{2} \\
3. & 47 \frac{7}{8} \\
4. & 70 \frac{1}{2} \\
5. & 37 \frac{1}{16} \\
6. & 92 \frac{3}{8} \\
7. & 79 \frac{1}{8} \\
8. & 69 \frac{1}{2} \\
9. & 7 \text{ feet } 9 \frac{3}{8} \text{ inches} \\
10. & 6 \text{ feet } 6 \frac{5}{8} \text{ inches} \\
11. & 9 \text{ feet } 6 \frac{3}{8} \text{ inches} \\
12. & 8 \text{ feet } 4 \frac{3}{4} \text{ inches} \\
13. & 2 \text{ feet } 4 \frac{3}{8} \text{ inches} \\
14. & 7 \text{ feet } 2 \frac{3}{4} \text{ inches} \\
15. & 6 \text{ feet } 5 \frac{3}{4} \text{ inches} \\
16. & 7 \text{ feet } 5 \frac{1}{4} \text{ inches} \\
\end{array}
}
\]