Question

Temperatures in f can be converted in c using the formula c=5(f-32)/9

Make F the subject of the formula.
give your answer in the form aC+b/c where a, b and c are all positive intergers.

Answer 1

To make F the subject of the formula in the Celsius to Fahrenheit conversion, multiply by 9, divide by 5, and then add 32, resulting in F = (9/5)C + 32.

Step-by-step explanation:

To make F the subject of the formula when given the Celsius to Fahrenheit conversion formula c = 5(f - 32)/9, we start by isolating Fahrenheit on one side of the equation. Here's a step-by-step process:

1. Multiply both sides of the equation by 9: 9c = 5(f - 32).
2. Divide both sides by 5: (9/5)c = f - 32.
3. Add 32 to both sides to isolate f: f = (9/5)c + 32.

Now the formula for F in terms of C is in the form aC + b with a = 9/5, b = 32, and there's no c as in the denominator since the conversion is direct.