Converting From Fahrenheit to Celsius (A) - Free Printable
Educational worksheet: Converting From Fahrenheit to Celsius (A). Download and print for classroom or home learning activities.
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Step-by-step solution for: Converting From Fahrenheit to Celsius (A)
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Show Answer Key & Explanations
Step-by-step solution for: Converting From Fahrenheit to Celsius (A)
You're given a worksheet titled “Converting Fahrenheit to Celsius (A)” with 30 temperature values in Fahrenheit (°F), and you’re asked to convert each to Celsius (°C).
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To convert Fahrenheit to Celsius, use the formula:
> °C = (°F – 32) × 5/9
This formula subtracts 32 (the freezing point of water in °F) and then scales down by multiplying by 5/9 to match the Celsius scale.
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We’ll go row by row, applying the formula to each value. I’ll round to one decimal place as is standard for these worksheets unless otherwise specified.
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#### Row 1:
- 110°F → (110 – 32) × 5/9 = 78 × 5/9 ≈ 43.3°C
- 69°F → (69 – 32) × 5/9 = 37 × 5/9 ≈ 20.6°C
- 209°F → (209 – 32) × 5/9 = 177 × 5/9 ≈ 98.3°C
#### Row 2:
- 62°F → (62 – 32) × 5/9 = 30 × 5/9 ≈ 16.7°C
- 72°F → (72 – 32) × 5/9 = 40 × 5/9 ≈ 22.2°C
- 90°F → (90 – 32) × 5/9 = 58 × 5/9 ≈ 32.2°C
#### Row 3:
- 93°F → (93 – 32) × 5/9 = 61 × 5/9 ≈ 33.9°C
- 131°F → (131 – 32) × 5/9 = 99 × 5/9 = 55.0°C
- 42°F → (42 – 32) × 5/9 = 10 × 5/9 ≈ 5.6°C
#### Row 4:
- 185°F → (185 – 32) × 5/9 = 153 × 5/9 = 85.0°C
- 191°F → (191 – 32) × 5/9 = 159 × 5/9 ≈ 88.3°C
- 37°F → (37 – 32) × 5/9 = 5 × 5/9 ≈ 2.8°C
#### Row 5:
- 201°F → (201 – 32) × 5/9 = 169 × 5/9 ≈ 93.9°C
- 89°F → (89 – 32) × 5/9 = 57 × 5/9 ≈ 31.7°C
- 183°F → (183 – 32) × 5/9 = 151 × 5/9 ≈ 83.9°C
#### Row 6:
- 196°F → (196 – 32) × 5/9 = 164 × 5/9 ≈ 91.1°C
- 110°F → already done: 43.3°C
- 60°F → (60 – 32) × 5/9 = 28 × 5/9 ≈ 15.6°C
#### Row 7:
- 40°F → (40 – 32) × 5/9 = 8 × 5/9 ≈ 4.4°C
- 187°F → (187 – 32) × 5/9 = 155 × 5/9 ≈ 86.1°C
- 141°F → (141 – 32) × 5/9 = 109 × 5/9 ≈ 60.6°C
#### Row 8:
- 128°F → (128 – 32) × 5/9 = 96 × 5/9 ≈ 53.3°C
- 133°F → (133 – 32) × 5/9 = 101 × 5/9 ≈ 56.1°C
- 138°F → (138 – 32) × 5/9 = 106 × 5/9 ≈ 58.9°C
#### Row 9:
- 46°F → (46 – 32) × 5/9 = 14 × 5/9 ≈ 7.8°C
- 153°F → (153 – 32) × 5/9 = 121 × 5/9 ≈ 67.2°C
- 168°F → (168 – 32) × 5/9 = 136 × 5/9 ≈ 75.6°C
#### Row 10:
- 80°F → (80 – 32) × 5/9 = 48 × 5/9 ≈ 26.7°C
- 211°F → (211 – 32) × 5/9 = 179 × 5/9 ≈ 99.4°C
- 174°F → (174 – 32) × 5/9 = 142 × 5/9 ≈ 78.9°C
#### Row 11:
- 160°F → (160 – 32) × 5/9 = 128 × 5/9 ≈ 71.1°C
- 203°F → (203 – 32) × 5/9 = 171 × 5/9 = 95.0°C
- 180°F → (180 – 32) × 5/9 = 148 × 5/9 ≈ 82.2°C
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```
Converting Fahrenheit to Celsius (A)
110°F = 43.3°C 69°F = 20.6°C 209°F = 98.3°C
62°F = 16.7°C 72°F = 22.2°C 90°F = 32.2°C
93°F = 33.9°C 131°F = 55.0°C 42°F = 5.6°C
185°F = 85.0°C 191°F = 88.3°C 37°F = 2.8°C
201°F = 93.9°C 89°F = 31.7°C 183°F = 83.9°C
196°F = 91.1°C 110°F = 43.3°C 60°F = 15.6°C
40°F = 4.4°C 187°F = 86.1°C 141°F = 60.6°C
128°F = 53.3°C 133°F = 56.1°C 138°F = 58.9°C
46°F = 7.8°C 153°F = 67.2°C 168°F = 75.6°C
80°F = 26.7°C 211°F = 99.4°C 174°F = 78.9°C
160°F = 71.1°C 203°F = 95.0°C 180°F = 82.2°C
```
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If you need a rough estimate (not exact), you can use:
> °C ≈ (°F – 30) ÷ 2
Example: 70°F → (70–30)/2 = 20°C (actual is 21.1°C — close enough for estimation).
---
✔ You now have all conversions completed accurately using the standard formula. This worksheet helps reinforce understanding of temperature scales and basic algebraic substitution.
---
🔢 Formula for Conversion:
To convert Fahrenheit to Celsius, use the formula:
> °C = (°F – 32) × 5/9
This formula subtracts 32 (the freezing point of water in °F) and then scales down by multiplying by 5/9 to match the Celsius scale.
---
✔ Step-by-Step Solution:
We’ll go row by row, applying the formula to each value. I’ll round to one decimal place as is standard for these worksheets unless otherwise specified.
---
#### Row 1:
- 110°F → (110 – 32) × 5/9 = 78 × 5/9 ≈ 43.3°C
- 69°F → (69 – 32) × 5/9 = 37 × 5/9 ≈ 20.6°C
- 209°F → (209 – 32) × 5/9 = 177 × 5/9 ≈ 98.3°C
#### Row 2:
- 62°F → (62 – 32) × 5/9 = 30 × 5/9 ≈ 16.7°C
- 72°F → (72 – 32) × 5/9 = 40 × 5/9 ≈ 22.2°C
- 90°F → (90 – 32) × 5/9 = 58 × 5/9 ≈ 32.2°C
#### Row 3:
- 93°F → (93 – 32) × 5/9 = 61 × 5/9 ≈ 33.9°C
- 131°F → (131 – 32) × 5/9 = 99 × 5/9 = 55.0°C
- 42°F → (42 – 32) × 5/9 = 10 × 5/9 ≈ 5.6°C
#### Row 4:
- 185°F → (185 – 32) × 5/9 = 153 × 5/9 = 85.0°C
- 191°F → (191 – 32) × 5/9 = 159 × 5/9 ≈ 88.3°C
- 37°F → (37 – 32) × 5/9 = 5 × 5/9 ≈ 2.8°C
#### Row 5:
- 201°F → (201 – 32) × 5/9 = 169 × 5/9 ≈ 93.9°C
- 89°F → (89 – 32) × 5/9 = 57 × 5/9 ≈ 31.7°C
- 183°F → (183 – 32) × 5/9 = 151 × 5/9 ≈ 83.9°C
#### Row 6:
- 196°F → (196 – 32) × 5/9 = 164 × 5/9 ≈ 91.1°C
- 110°F → already done: 43.3°C
- 60°F → (60 – 32) × 5/9 = 28 × 5/9 ≈ 15.6°C
#### Row 7:
- 40°F → (40 – 32) × 5/9 = 8 × 5/9 ≈ 4.4°C
- 187°F → (187 – 32) × 5/9 = 155 × 5/9 ≈ 86.1°C
- 141°F → (141 – 32) × 5/9 = 109 × 5/9 ≈ 60.6°C
#### Row 8:
- 128°F → (128 – 32) × 5/9 = 96 × 5/9 ≈ 53.3°C
- 133°F → (133 – 32) × 5/9 = 101 × 5/9 ≈ 56.1°C
- 138°F → (138 – 32) × 5/9 = 106 × 5/9 ≈ 58.9°C
#### Row 9:
- 46°F → (46 – 32) × 5/9 = 14 × 5/9 ≈ 7.8°C
- 153°F → (153 – 32) × 5/9 = 121 × 5/9 ≈ 67.2°C
- 168°F → (168 – 32) × 5/9 = 136 × 5/9 ≈ 75.6°C
#### Row 10:
- 80°F → (80 – 32) × 5/9 = 48 × 5/9 ≈ 26.7°C
- 211°F → (211 – 32) × 5/9 = 179 × 5/9 ≈ 99.4°C
- 174°F → (174 – 32) × 5/9 = 142 × 5/9 ≈ 78.9°C
#### Row 11:
- 160°F → (160 – 32) × 5/9 = 128 × 5/9 ≈ 71.1°C
- 203°F → (203 – 32) × 5/9 = 171 × 5/9 = 95.0°C
- 180°F → (180 – 32) × 5/9 = 148 × 5/9 ≈ 82.2°C
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📋 Final Answer Sheet (Filled In):
```
Converting Fahrenheit to Celsius (A)
110°F = 43.3°C 69°F = 20.6°C 209°F = 98.3°C
62°F = 16.7°C 72°F = 22.2°C 90°F = 32.2°C
93°F = 33.9°C 131°F = 55.0°C 42°F = 5.6°C
185°F = 85.0°C 191°F = 88.3°C 37°F = 2.8°C
201°F = 93.9°C 89°F = 31.7°C 183°F = 83.9°C
196°F = 91.1°C 110°F = 43.3°C 60°F = 15.6°C
40°F = 4.4°C 187°F = 86.1°C 141°F = 60.6°C
128°F = 53.3°C 133°F = 56.1°C 138°F = 58.9°C
46°F = 7.8°C 153°F = 67.2°C 168°F = 75.6°C
80°F = 26.7°C 211°F = 99.4°C 174°F = 78.9°C
160°F = 71.1°C 203°F = 95.0°C 180°F = 82.2°C
```
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💡 Tip for Quick Estimation (Optional):
If you need a rough estimate (not exact), you can use:
> °C ≈ (°F – 30) ÷ 2
Example: 70°F → (70–30)/2 = 20°C (actual is 21.1°C — close enough for estimation).
---
✔ You now have all conversions completed accurately using the standard formula. This worksheet helps reinforce understanding of temperature scales and basic algebraic substitution.
Parent Tip: Review the logic above to help your child master the concept of celsius to fahrenheit worksheet.