Printable temperature conversion worksheet for learning Fahrenheit to Celsius conversions.

Problem Description:

The task involves converting temperatures between Fahrenheit (°F) and Celsius (°C) using the provided formulas and solving practice problems. The formulas are as follows:

1. From Fahrenheit to Celsius:
\[
C = \frac{5}{9} \times (F - 32)
\]
Steps:
- Subtract 32 from \( F \).
- Multiply the result by 5.
- Divide the result by 9.

2. From Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Steps:
- Multiply \( C \) by 9.
- Divide the result by 5.
- Add 32 to the result.

Practice Problems:

We will solve each of the 12 practice problems step by step.

---

#### Problem 1: Convert 15°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = 15 \):
\[
F = \left( 15 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( 15 \times 1.8 \right) + 32
\]
\[
F = 27 + 32
\]
\[
F = 59
\]

Answer: \( 59°F \)

---

#### Problem 2: Convert 105°F to Celsius
Using the formula for Fahrenheit to Celsius:
\[
C = \frac{5}{9} \times (F - 32)
\]
Substitute \( F = 105 \):
\[
C = \frac{5}{9} \times (105 - 32)
\]
\[
C = \frac{5}{9} \times 73
\]
\[
C = \frac{365}{9}
\]
\[
C \approx 40.56
\]

Answer: \( 40.56°C \)

---

#### Problem 3: Convert -39°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = -39 \):
\[
F = \left( -39 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( -39 \times 1.8 \right) + 32
\]
\[
F = -70.2 + 32
\]
\[
F = -38.2
\]

Answer: \( -38.2°F \)

---

#### Problem 4: Convert 55°F to Celsius
Using the formula for Fahrenheit to Celsius:
\[
C = \frac{5}{9} \times (F - 32)
\]
Substitute \( F = 55 \):
\[
C = \frac{5}{9} \times (55 - 32)
\]
\[
C = \frac{5}{9} \times 23
\]
\[
C = \frac{115}{9}
\]
\[
C \approx 12.78
\]

Answer: \( 12.78°C \)

---

#### Problem 5: Convert 19°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = 19 \):
\[
F = \left( 19 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( 19 \times 1.8 \right) + 32
\]
\[
F = 34.2 + 32
\]
\[
F = 66.2
\]

Answer: \( 66.2°F \)

---

#### Problem 6: Convert 62°F to Celsius
Using the formula for Fahrenheit to Celsius:
\[
C = \frac{5}{9} \times (F - 32)
\]
Substitute \( F = 62 \):
\[
C = \frac{5}{9} \times (62 - 32)
\]
\[
C = \frac{5}{9} \times 30
\]
\[
C = \frac{150}{9}
\]
\[
C \approx 16.67
\]

Answer: \( 16.67°C \)

---

#### Problem 7: Convert -2°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = -2 \):
\[
F = \left( -2 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( -2 \times 1.8 \right) + 32
\]
\[
F = -3.6 + 32
\]
\[
F = 28.4
\]

Answer: \( 28.4°F \)

---

#### Problem 8: Convert -12°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = -12 \):
\[
F = \left( -12 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( -12 \times 1.8 \right) + 32
\]
\[
F = -21.6 + 32
\]
\[
F = 10.4
\]

Answer: \( 10.4°F \)

---

#### Problem 9: Convert -32°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = -32 \):
\[
F = \left( -32 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( -32 \times 1.8 \right) + 32
\]
\[
F = -57.6 + 32
\]
\[
F = -25.6
\]

Answer: \( -25.6°F \)

---

#### Problem 10: Convert 76°F to Celsius
Using the formula for Fahrenheit to Celsius:
\[
C = \frac{5}{9} \times (F - 32)
\]
Substitute \( F = 76 \):
\[
C = \frac{5}{9} \times (76 - 32)
\]
\[
C = \frac{5}{9} \times 44
\]
\[
C = \frac{220}{9}
\]
\[
C \approx 24.44
\]

Answer: \( 24.44°C \)

---

#### Problem 11: Convert 2°C to Fahrenheit
Using the formula for Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = 2 \):
\[
F = \left( 2 \times \frac{9}{5} \right) + 32
\]
\[
F = \left( 2 \times 1.8 \right) + 32
\]
\[
F = 3.6 + 32
\]
\[
F = 35.6
\]

Answer: \( 35.6°F \)

---

#### Problem 12: Convert 0°F to Celsius
Using the formula for Fahrenheit to Celsius:
\[
C = \frac{5}{9} \times (F - 32)
\]
Substitute \( F = 0 \):
\[
C = \frac{5}{9} \times (0 - 32)
\]
\[
C = \frac{5}{9} \times (-32)
\]
\[
C = \frac{-160}{9}
\]
\[
C \approx -17.78
\]

Answer: \( -17.78°C \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 59°F \\
2. & 40.56°C \\
3. & -38.2°F \\
4. & 12.78°C \\
5. & 66.2°F \\
6. & 16.67°C \\
7. & 28.4°F \\
8. & 10.4°F \\
9. & -25.6°F \\
10. & 24.44°C \\
11. & 35.6°F \\
12. & -17.78°C \\
\end{array}
}
\]