Let’s solve each problem step by step using the formulas given:
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Formula to convert Celsius (°C) to Fahrenheit (°F):
F = (C × 9 ÷ 5) + 32
Formula to convert Fahrenheit (°F) to Celsius (°C):
C = (F - 32) × 5 ÷ 9
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Part 1: Convert °C to °F
1. 53°C → ?°F
F = (53 × 9 ÷ 5) + 32
= (477 ÷ 5) + 32
= 95.4 + 32
=
127.4°F
✔ Check: 53 × 1.8 = 95.4, +32 = 127.4 — correct.
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2. 40°C → ?°F
F = (40 × 9 ÷ 5) + 32
= (360 ÷ 5) + 32
= 72 + 32
=
104°F
✔ Check: 40 × 1.8 = 72, +32 = 104 — correct.
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3. -10°C → ?°F
F = (-10 × 9 ÷ 5) + 32
= (-90 ÷ 5) + 32
= -18 + 32
=
14°F
✔ Check: -10 × 1.8 = -18, +32 = 14 — correct.
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4. 0°C → ?°F
F = (0 × 9 ÷ 5) + 32
= 0 + 32
=
32°F
✔ This is a known fact — freezing point of water — correct.
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5. 20°C → ?°F
F = (20 × 9 ÷ 5) + 32
= (180 ÷ 5) + 32
= 36 + 32
=
68°F
✔ Check: 20 × 1.8 = 36, +32 = 68 — correct.
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Part 2: Convert °F to °C
6. 208°F → ?°C
C = (208 - 32) × 5 ÷ 9
= 176 × 5 ÷ 9
= 880 ÷ 9
≈
97.78°C (rounded to two decimals)
✔ Check: 97.78 × 1.8 ≈ 176, +32 = 208 — correct.
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7. 80°F → ?°C
C = (80 - 32) × 5 ÷ 9
= 48 × 5 ÷ 9
= 240 ÷ 9
≈
26.67°C
✔ Check: 26.67 × 1.8 ≈ 48, +32 = 80 — correct.
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8. 110°F → ?°C
C = (110 - 32) × 5 ÷ 9
= 78 × 5 ÷ 9
= 390 ÷ 9
≈
43.33°C
✔ Check: 43.33 × 1.8 ≈ 78, +32 = 110 — correct.
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9. 212°F → ?°C
C = (212 - 32) × 5 ÷ 9
= 180 × 5 ÷ 9
= 900 ÷ 9
=
100°C
✔ This is boiling point of water — correct.
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10. 250°F → ?°C
C = (250 - 32) × 5 ÷ 9
= 218 × 5 ÷ 9
= 1090 ÷ 9
≈
121.11°C
✔ Check: 121.11 × 1.8 ≈ 218, +32 = 250 — correct.
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Final Answer:
1. 127.4°F
2. 104°F
3. 14°F
4. 32°F
5. 68°F
6. 97.78°C
7. 26.67°C
8. 43.33°C
9. 100°C
10. 121.11°C
Parent Tip: Review the logic above to help your child master the concept of fahrenheit to celsius worksheet.
