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Chapter 9: Problem 48

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(475^{\circ} \mathrm{F}\)

Short Answer

Expert verified
The equivalent temperature of \(475^{\circ} \mathrm{F} \) on the Celsius scale is approximately \(246.1^{\circ} \mathrm{C} \).

Step by step solution

01

Use the Conversion Formula

The formula to convert Fahrenheit to Celsius is \( C = (F - 32) * \frac{5}{9} \). Plug in the given Fahrenheit temperature, \( F = 475 \), into the formula. We get \( C = (475 - 32) * \frac{5}{9} \).
02

Subtract 32 from Fahrenheit

Subtract 32 from 475, which gives 443. Then apply the multiplication factor of \frac{5}{9}. Now the formula is \( C = 443 * \frac{5}{9} \).
03

Multiply to get Celsius Temperature

Now multiply 443 by \frac{5}{9} to obtain the Celsius temperature. The result is approximately 246.11. To get a rounded number, this will be rounded to the nearest tenth of a degree.
04

Round to the Nearest Tenth

Round 246.11 to the nearest tenth of a degree gives 246.1.
05

Final Answer

Therefore, \( 475^{\circ} \mathrm{F} \) is approximately \(246.1^{\circ} \mathrm{C} \) when rounded to the nearest tenth of a degree.

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