Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Use $\mathrm{C}=\frac{5}{9}(\mathrm{~F}-32)$ or $\mathrm{F}=\frac{9}{5} \mathrm{C}+32$, where $\mathrm{F}$ is the degrees in Fahrenheit and $\mathrm{C}$ is the degrees in Celsius: $-7^{\circ} \mathrm{F}$
\[
-7^{\circ} \mathrm{F}=
\]
\[
{ }^{\circ} \mathrm{C}
\]
(Round to the nearest tenth as needed.)
Answer
The equivalent temperature on the Celsius scale for \(-7^\circ F\) is \(\boxed{-21.7^\circ C}\).
Step 1 ：We are given the temperature in Fahrenheit and we need to convert it to Celsius. We can use the formula \(C=\frac{5}{9}(F-32)\) to do this. We just need to substitute -7 for F in the formula and calculate the result.
Step 2 ：Substitute -7 for F in the formula: \(C=\frac{5}{9}(-7-32)\)
Step 3 ：Simplify the expression to get the Celsius temperature as -21.666666666666668.
Step 4 ：But we need to round it to the nearest tenth, so the rounded Celsius temperature is -21.7.
Step 5 ：The equivalent temperature on the Celsius scale for \(-7^\circ F\) is \(\boxed{-21.7^\circ C}\).
