Convert the following Fahrenheit temperatures to Celsius:
a. 96.8°F = _ °C b. 99.2°F = °C
c. 97.4°F = °C
d. 100.2°F = °C
e. 98.6°F = °C
f. 102.4°F = _ °C
The correct answer and explanation is :
To convert temperatures from Fahrenheit (°F) to Celsius (°C), use the formula:
°C=(°F−32)×59\text{°C} = (\text{°F} – 32) \times \frac{5}{9}
Applying this formula to the given temperatures:
a. 96.8°F = (96.8 – 32) × 5/9 = 36°C
b. 99.2°F = (99.2 – 32) × 5/9 ≈ 37.3°C
c. 97.4°F = (97.4 – 32) × 5/9 ≈ 36.3°C
d. 100.2°F = (100.2 – 32) × 5/9 ≈ 37.9°C
e. 98.6°F = (98.6 – 32) × 5/9 = 37°C
f. 102.4°F = (102.4 – 32) × 5/9 ≈ 39.1°C
For a visual reference, here’s a Fahrenheit to Celsius conversion chart:
This chart provides a quick reference for converting between Fahrenheit and Celsius temperatures.