QQuestionMathematics
QuestionMathematics
Convert 101.2
∘
F to Celsius: _____
∘
C (round to the nearest tenth)
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this temperature conversion problem step by step using the precise LaTeX formatting guidelines you specified.
Step 2:: Recall the formula for converting Fahrenheit to Celsius
T_{C} = \frac{5}{9}(T_{F} - 32)
The conversion formula from Fahrenheit to Celsius is:
Step 3:: Substitute the given temperature
Let's plug in 101.2 for $$T_{F}$$:
T_{C} = \frac{5}{9}(101.2 - 32)
Step 4:: Solve the subtraction inside the parentheses
T_{C} = \frac{5}{9}(69.2)
Step 5:: Multiply
T_{C} = \frac{5 \times 69.2}{9}
Step 6:: Calculate the final value
T_{C} = \frac{346}{9} = 38.4\overline{4}
Step 7:: Round to the nearest tenth
T_{C} = 38.4
Final Answer
101.2 °F converts to 38.4 °C (rounded to the nearest tenth)
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students