F-32/180=C-0/100.F-32/9=C/5.given,F=C/2..C/2-32/9=C/5.C-64/2×9=C/5.5C-320=18C.-320=13C.-24.61=C

Temperature Conversion: Fahrenheit to Celsius

To determine the Fahrenheit temperature at which the scale reading is equal to half of the Celsius scale reading, we need to consider the relationship between the Fahrenheit and Celsius scales.

Fahrenheit Scale:
The Fahrenheit scale is commonly used in the United States for measuring temperature. On this scale, the freezing point of water is defined as 32°F, while the boiling point of water is defined as 212°F. The Fahrenheit scale is divided into 180 equal intervals between these two points.

Celsius Scale:
The Celsius scale is widely used in most parts of the world. It is based on the freezing and boiling points of water. On this scale, the freezing point of water is defined as 0°C, while the boiling point of water is defined as 100°C. The Celsius scale is divided into 100 equal intervals between these two points.

Relationship between Fahrenheit and Celsius:
To convert a temperature from Fahrenheit to Celsius, we can use the following formula:

C = (F - 32) * 5/9

Finding the Temperature:
To find the Fahrenheit temperature at which the scale reading is equal to half of the Celsius scale reading, we can set up the following equation:

F = (C/2) * (9/5) + 32

Substituting the Celsius temperature as C/2, the equation becomes:

F = (C/2) * (9/5) + 32
F = (C * 9/10) + 32

Solving the Equation:
To solve the equation, we need to find the value of C/2 that satisfies the equation. Let's substitute C/2 with x and solve for x:

F = (x * 9/10) + 32

By rearranging the equation, we get:

x = (F - 32) * 10/9

Conclusion:
To find the Fahrenheit temperature at which the scale reading is equal to half of the Celsius scale reading, we can substitute C/2 with x in the equation x = (F - 32) * 10/9. This will give us the value of x, which can be converted back to Fahrenheit using the formula F = (x * 9/10) + 32.