# What celsius temperature is the same when converted to fahrenheit?

Jan 14, 2014

Quick Answer: -40 °C = -40 °F

PROOF

F = $\frac{9}{5}$C + 32

If F = C, then

C = $\frac{9}{5}$C + 32

$\frac{9}{5}$C – C = -32

$\frac{4}{5}$C = -32

C = -32 × $\frac{5}{4}$ = -40

Therefore, -40 °C = -40 °F