if temperature of an object is `140^(@)F`, then its temperature in centigrade is

Options

A. `105^(@)C`
B. `32^(@)C`
C. `140^(@)C`
D. `60^(@)C`

Answer

To convert the temperature from Fahrenheit to Celsius, we can use the formula:

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

where:
- \(C\) is the temperature in degrees Celsius,
- \(F\) is the temperature in degrees Fahrenheit.

Given that the temperature \(F = 140^\circ F\), we can substitute this value into the formula.

### Step 1: Substitute the value of F into the formula
\[ C = \frac{5}{9} (140 - 32) \]

### Step 2: Calculate \(140 - 32\)
\[ 140 - 32 = 108 \]

### Step 3: Substitute back into the formula
\[ C = \frac{5}{9} \times 108 \]

### Step 4: Calculate \(\frac{5}{9} \times 108\)
To simplify this calculation:
\[ C = \frac{5 \times 108}{9} \]
\[ C = \frac{540}{9} \]
\[ C = 60 \]

### Final Result
Thus, the temperature in degrees Celsius is:
\[ C = 60^\circ C \]