Addition of Feet and Inches Worksheet with Fractional Measurements

Problem: Addition of Feet and Inches

The task involves adding measurements given in feet and inches. To solve these problems, we need to:
1. Add the inches together.
2. Add the feet together.
3. Convert any excess inches (greater than 12) into additional feet.

Let's solve each problem step by step.

---

#### First Row:
1. Problem 1:
$$
30 \text{ ft } 3 \frac{1}{2} \text{ in} + 73 \text{ ft } 1 \frac{7}{16} \text{ in}
$$

- Add the inches:
$$
3 \frac{1}{2} \text{ in} + 1 \frac{7}{16} \text{ in} = 3 \frac{8}{16} \text{ in} + 1 \frac{7}{16} \text{ in} = 4 \frac{15}{16} \text{ in}
$$
(No conversion needed since it is less than 12 inches.)

- Add the feet:
$$
30 \text{ ft} + 73 \text{ ft} = 103 \text{ ft}
$$

- Combine the results:
$$
103 \text{ ft } 4 \frac{15}{16} \text{ in}
$$

Answer:
$$
\boxed{103 \text{ ft } 4 \frac{15}{16} \text{ in}}
$$

2. Problem 2:
$$
48 \text{ ft } 3 \frac{1}{2} \text{ in} + 86 \text{ ft } 4 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
3 \frac{1}{2} \text{ in} + 4 \frac{1}{2} \text{ in} = 8 \text{ in}
$$

- Add the feet:
$$
48 \text{ ft} + 86 \text{ ft} = 134 \text{ ft}
$$

- Combine the results:
$$
134 \text{ ft } 8 \text{ in}
$$

Answer:
$$
\boxed{134 \text{ ft } 8 \text{ in}}
$$

3. Problem 3:
$$
13 \text{ ft } 6 \frac{3}{4} \text{ in} + 26 \text{ ft } 4 \frac{5}{8} \text{ in}
$$

- Add the inches:
$$
6 \frac{3}{4} \text{ in} + 4 \frac{5}{8} \text{ in} = 6 \frac{6}{8} \text{ in} + 4 \frac{5}{8} \text{ in} = 11 \frac{11}{8} \text{ in} = 12 \frac{3}{8} \text{ in}
$$
(Convert 12 inches to 1 foot.)

- Add the feet:
$$
13 \text{ ft} + 26 \text{ ft} + 1 \text{ ft} = 40 \text{ ft}
$$

- Combine the results:
$$
40 \text{ ft } 3 \frac{3}{8} \text{ in}
$$

Answer:
$$
\boxed{40 \text{ ft } 3 \frac{3}{8} \text{ in}}
$$

---

#### Second Row:
1. Problem 4:
$$
34 \text{ ft } 5 \frac{3}{4} \text{ in} + 20 \text{ ft } 3 \frac{5}{8} \text{ in}
$$

- Add the inches:
$$
5 \frac{3}{4} \text{ in} + 3 \frac{5}{8} \text{ in} = 5 \frac{6}{8} \text{ in} + 3 \frac{5}{8} \text{ in} = 9 \frac{11}{8} \text{ in} = 10 \frac{3}{8} \text{ in}
$$
(Convert 8 inches to 1 foot.)

- Add the feet:
$$
34 \text{ ft} + 20 \text{ ft} + 1 \text{ ft} = 55 \text{ ft}
$$

- Combine the results:
$$
55 \text{ ft } 10 \frac{3}{8} \text{ in}
$$

Answer:
$$
\boxed{55 \text{ ft } 10 \frac{3}{8} \text{ in}}
$$

2. Problem 5:
$$
51 \text{ ft } 10 \frac{3}{4} \text{ in} + 71 \text{ ft } 11 \frac{3}{4} \text{ in}
$$

- Add the inches:
$$
10 \frac{3}{4} \text{ in} + 11 \frac{3}{4} \text{ in} = 22 \text{ in}
$$
(Convert 22 inches to 1 foot 10 inches.)

- Add the feet:
$$
51 \text{ ft} + 71 \text{ ft} + 1 \text{ ft} = 123 \text{ ft}
$$

- Combine the results:
$$
123 \text{ ft } 10 \text{ in}
$$

Answer:
$$
\boxed{123 \text{ ft } 10 \text{ in}}
$$

3. Problem 6:
$$
15 \text{ ft } 5 \frac{5}{8} \text{ in} + 17 \text{ ft } 9 \frac{3}{8} \text{ in}
$$

- Add the inches:
$$
5 \frac{5}{8} \text{ in} + 9 \frac{3}{8} \text{ in} = 14 \frac{8}{8} \text{ in} = 15 \text{ in}
$$
(Convert 15 inches to 1 foot 3 inches.)

- Add the feet:
$$
15 \text{ ft} + 17 \text{ ft} + 1 \text{ ft} = 33 \text{ ft}
$$

- Combine the results:
$$
33 \text{ ft } 3 \text{ in}
$$

Answer:
$$
\boxed{33 \text{ ft } 3 \text{ in}}
$$

---

#### Third Row:
1. Problem 7:
$$
36 \text{ ft } 9 \frac{3}{4} \text{ in} + 42 \text{ ft } 9 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
9 \frac{3}{4} \text{ in} + 9 \frac{1}{2} \text{ in} = 9 \frac{3}{4} \text{ in} + 9 \frac{4}{8} \text{ in} = 18 \frac{7}{8} \text{ in}
$$
(Convert 18 inches to 1 foot 6 inches.)

- Add the feet:
$$
36 \text{ ft} + 42 \text{ ft} + 1 \text{ ft} = 79 \text{ ft}
$$

- Combine the results:
$$
79 \text{ ft } 6 \frac{7}{8} \text{ in}
$$

Answer:
$$
\boxed{79 \text{ ft } 6 \frac{7}{8} \text{ in}}
$$

2. Problem 8:
$$
28 \text{ ft } 11 \frac{1}{8} \text{ in} + 66 \text{ ft } 11 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
11 \frac{1}{8} \text{ in} + 11 \frac{1}{2} \text{ in} = 11 \frac{1}{8} \text{ in} + 11 \frac{4}{8} \text{ in} = 22 \frac{5}{8} \text{ in}
$$
(Convert 22 inches to 1 foot 10 inches.)

- Add the feet:
$$
28 \text{ ft} + 66 \text{ ft} + 1 \text{ ft} = 95 \text{ ft}
$$

- Combine the results:
$$
95 \text{ ft } 10 \frac{5}{8} \text{ in}
$$

Answer:
$$
\boxed{95 \text{ ft } 10 \frac{5}{8} \text{ in}}
$$

3. Problem 9:
$$
45 \text{ ft } 10 \frac{3}{4} \text{ in} + 77 \text{ ft } 8 \frac{7}{8} \text{ in}
$$

- Add the inches:
$$
10 \frac{3}{4} \text{ in} + 8 \frac{7}{8} \text{ in} = 10 \frac{6}{8} \text{ in} + 8 \frac{7}{8} \text{ in} = 19 \frac{3}{8} \text{ in}
$$
(Convert 19 inches to 1 foot 7 inches.)

- Add the feet:
$$
45 \text{ ft} + 77 \text{ ft} + 1 \text{ ft} = 123 \text{ ft}
$$

- Combine the results:
$$
123 \text{ ft } 7 \frac{3}{8} \text{ in}
$$

Answer:
$$
\boxed{123 \text{ ft } 7 \frac{3}{8} \text{ in}}
$$

---

#### Fourth Row:
1. Problem 10:
$$
10 \text{ ft } 11 \frac{9}{16} \text{ in} + 90 \text{ ft } 11 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
11 \frac{9}{16} \text{ in} + 11 \frac{1}{2} \text{ in} = 11 \frac{9}{16} \text{ in} + 11 \frac{8}{16} \text{ in} = 22 \frac{17}{16} \text{ in} = 23 \frac{1}{16} \text{ in}
$$
(Convert 23 inches to 1 foot 11 inches.)

- Add the feet:
$$
10 \text{ ft} + 90 \text{ ft} + 1 \text{ ft} = 101 \text{ ft}
$$

- Combine the results:
$$
101 \text{ ft } 11 \frac{1}{16} \text{ in}
$$

Answer:
$$
\boxed{101 \text{ ft } 11 \frac{1}{16} \text{ in}}
$$

2. Problem 11:
$$
60 \text{ ft } 6 \frac{13}{16} \text{ in} + 61 \text{ ft } 4 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
6 \frac{13}{16} \text{ in} + 4 \frac{1}{2} \text{ in} = 6 \frac{13}{16} \text{ in} + 4 \frac{8}{16} \text{ in} = 10 \frac{21}{16} \text{ in} = 11 \frac{5}{16} \text{ in}
$$
(No conversion needed since it is less than 12 inches.)

- Add the feet:
$$
60 \text{ ft} + 61 \text{ ft} = 121 \text{ ft}
$$

- Combine the results:
$$
121 \text{ ft } 11 \frac{5}{16} \text{ in}
$$

Answer:
$$
\boxed{121 \text{ ft } 11 \frac{5}{16} \text{ in}}
$$

3. Problem 12:
$$
11 \text{ ft } 3 \frac{1}{2} \text{ in} + 56 \text{ ft } 6 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
3 \frac{1}{2} \text{ in} + 6 \frac{1}{2} \text{ in} = 10 \text{ in}
$$

- Add the feet:
$$
11 \text{ ft} + 56 \text{ ft} = 67 \text{ ft}
$$

- Combine the results:
$$
67 \text{ ft } 10 \text{ in}
$$

Answer:
$$
\boxed{67 \text{ ft } 10 \text{ in}}
$$

---

#### Fifth Row:
1. Problem 13:
$$
53 \text{ ft } 1 \frac{7}{8} \text{ in} + 43 \text{ ft } 10 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
1 \frac{7}{8} \text{ in} + 10 \frac{1}{2} \text{ in} = 1 \frac{7}{8} \text{ in} + 10 \frac{4}{8} \text{ in} = 11 \frac{11}{8} \text{ in} = 12 \frac{3}{8} \text{ in}
$$
(Convert 12 inches to 1 foot.)

- Add the feet:
$$
53 \text{ ft} + 43 \text{ ft} + 1 \text{ ft} = 97 \text{ ft}
$$

- Combine the results:
$$
97 \text{ ft } 3 \frac{3}{8} \text{ in}
$$

Answer:
$$
\boxed{97 \text{ ft } 3 \frac{3}{8} \text{ in}}
$$

2. Problem 14:
$$
87 \text{ ft } 10 \frac{13}{16} \text{ in} + 47 \text{ ft } 9 \frac{1}{2} \text{ in}
$$

- Add the inches:
$$
10 \frac{13}{16} \text{ in} + 9 \frac{1}{2} \text{ in} = 10 \frac{13}{16} \text{ in} + 9 \frac{8}{16} \text{ in} = 19 \frac{21}{16} \text{ in} = 20 \frac{5}{16} \text{ in}
$$
(Convert 20 inches to 1 foot 8 inches.)

- Add the feet:
$$
87 \text{ ft} + 47 \text{ ft} + 1 \text{ ft} = 135 \text{ ft}
$$

- Combine the results:
$$
135 \text{ ft } 8 \frac{5}{16} \text{ in}
$$

Answer:
$$
\boxed{135 \text{ ft } 8 \frac{5}{16} \text{ in}}
$$

3. Problem 15:
$$
68 \text{ ft } 8 \frac{1}{16} \text{ in} + 44 \text{ ft } 3 \frac{3}{4} \text{ in}
$$

- Add the inches:
$$
8 \frac{1}{16} \text{ in} + 3 \frac{3}{4} \text{ in} = 8 \frac{1}{16} \text{ in} + 3 \frac{12}{16} \text{ in} = 11 \frac{13}{16} \text{ in}
$$
(No conversion needed since it is less than 12 inches.)

- Add the feet:
$$
68 \text{ ft} + 44 \text{ ft} = 112 \text{ ft}
$$

- Combine the results:
$$
112 \text{ ft } 11 \frac{13}{16} \text{ in}
$$

Answer:
$$
\boxed{112 \text{ ft } 11 \frac{13}{16} \text{ in}}
$$

---

Final Answers:

$$
\boxed{
\begin{aligned}
&1. 103 \text{ ft } 4 \frac{15}{16} \text{ in} \\
&2. 134 \text{ ft } 8 \text{ in} \\
&3. 40 \text{ ft } 3 \frac{3}{8} \text{ in} \\
&4. 55 \text{ ft } 10 \frac{3}{8} \text{ in} \\
&5. 123 \text{ ft } 10 \text{ in} \\
&6. 33 \text{ ft } 3 \text{ in} \\
&7. 79 \text{ ft } 6 \frac{7}{8} \text{ in} \\
&8. 95 \text{ ft } 10 \frac{5}{8} \text{ in} \\
&9. 123 \text{ ft } 7 \frac{3}{8} \text{ in} \\
&10. 101 \text{ ft } 11 \frac{1}{16} \text{ in} \\
&11. 121 \text{ ft } 11 \frac{5}{16} \text{ in} \\
&12. 67 \text{ ft } 10 \text{ in} \\
&13. 97 \text{ ft } 3 \frac{3}{8} \text{ in} \\
&14. 135 \text{ ft } 8 \frac{5}{16} \text{ in} \\
&15. 112 \text{ ft } 11 \frac{13}{16} \text{ in}
\end{aligned}
}
$$