UpStudy Free Solution:

To convert temperatures from Fahrenheit to Celsius, you can use the following formula:

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

Where \(C\) is the temperature in degrees Celsius and \(F\) is the temperature in degrees Fahrenheit.

Let's convert each of the given temperatures:

a) 42°F to Celsius

\[C = \frac { 5} { 9} ( 42 - 32) \]

\[C = \frac { 5} { 9} \times 10\]

\[C = \frac { 50} { 9} \]

\[C \approx 5.56\]

b) 91°F to Celsius

\[C = \frac { 5} { 9} ( 91 - 32) \]

\[C = \frac { 5} { 9} \times 59\]

\[C \approx 32.78\]

c) 15°F to Celsius

\[C = \frac { 5} { 9} ( 15 - 32) \]

\[C = \frac { 5} { 9} \times ( - 17) \]

\[C \approx - 9.44\]

d) 7°F to Celsius

\[C = \frac { 5} { 9} ( 7 - 32) \]

\[C = \frac { 5} { 9} \times ( - 25) \]

\[C \approx - 13.89\]

So, the conversions are:

a) 42°F ≈ 5.56°C

b) 91°F ≈ 32.78°C

c) 15°F ≈ -9.44°C

d) 7°F ≈ -13.89°C

Supplemental Knowledge

Temperature conversion between Fahrenheit and Celsius is a common task in various scientific and everyday contexts. Understanding the relationship between these two temperature scales is essential for accurate conversions.

Key Concepts:

1. Fahrenheit to Celsius Conversion Formula:

- The formula to convert Fahrenheit (\(F\)) to Celsius (\(C\)) is:

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

- This formula accounts for the different zero points and scaling factors of the two temperature scales.

2. Step-by-Step Conversion Process:

- Subtract 32 from the Fahrenheit temperature.

- Multiply the result by \(\frac { 5} { 9} \).

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