To solve the equation \( F = \frac{9}{5}C + 32 \) for \( C \), follow these steps:

### Step 1: Subtract 32 from both sides
\[
F - 32 = \frac{9}{5}C
\]

### Step 2: Multiply both sides by \( \frac{5}{9} \) to isolate \( C \)
\[
C = \frac{5}{9}(F - 32)
\]

So, the formula for \( C \) is:
\[
C = \frac{5}{9}(F - 32)
\]

This is the equation to convert Fahrenheit (F) to Celsius (C).

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How do you convert Celsius to Kelvin?
2. What is the temperature in Celsius when \( F = 212 \)°F?
3. How does the Fahrenheit scale compare to the Kelvin scale?
4. Can you express the relationship between Fahrenheit and Kelvin?
5. How do you calculate the temperature difference between two values in different scales?

**Tip:** The Fahrenheit and Celsius scales intersect at -40, where both temperatures are equal.

Learn how to solve the temperature conversion formula F = 9/5 C + 32 for C. This step-by-step guide explains how to rearrange the equation to convert Fahrenheit to Celsius, covering algebraic manipulation and linear equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation