A formula for converting degrees Fahrenheit left parenthesis, F, right parenthesis(*F*) to degrees Celsius left parenthesis, C, right parenthesis(*C*) is given by the formula C, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, F, minus, 32, right parenthesis, .*C*=95​(*F*−32). Solve the formula for F*F* in terms of C, .*C*.

To solve the formula for \( F \) in terms of \( C \), start with the given equation:

\[
C = \frac{5}{9}(F - 32)
\]

Now, follow these steps:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 9 to eliminate the denominator:

\[
9C = 5(F - 32)
\]

### Step 2: Distribute the 5 on the right-hand side
Expand the right-hand side of the equation:

\[
9C = 5F - 160
\]

### Step 3: Isolate \( F \)
Add 160 to both sides of the equation:

\[
9C + 160 = 5F
\]

### Step 4: Solve for \( F \)
Divide both sides of the equation by 5 to isolate \( F \):

\[
F = \frac{9C + 160}{5}
\]

Thus, the formula for \( F \) in terms of \( C \) is:

\[
F = \frac{9C + 160}{5}
\]

Would you like more details on this process or have any questions?

Here are 5 related questions for further practice:
1. Convert 100°C to Fahrenheit using this formula.
2. How many degrees Celsius is 212°F?
3. What is the Fahrenheit temperature when Celsius is 0°C?
4. How does the Celsius to Fahrenheit conversion compare to the Kelvin scale?
5. Solve for \( F \) if \( C = 37 \) (body temperature).

**Tip:** When converting between units, keep track of significant figures for accurate scientific results.

A formula for converting degrees Fahrenheit (F) to degrees Celsius (C) is given by the formula C = 5/9(F - 32). Solve the formula for F in terms of C.

Learn how to solve the formula for converting Fahrenheit to Celsius, C = 5/9(F - 32), by isolating F in terms of C. This step-by-step solution includes algebraic manipulation and unit conversion, suitable for students in Grades 6-8.

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