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# How do you convert 45°C to Fahrenheit?

Recall the formula to convert this.

##\mathbf(T_C = 5/9(T_F - 32))##

Of course, ##T_C## is the temperature in ##""^@ "C"##, and ##T_F## is the temperature in ##""^@ "F"##.

Let's test this to make sure. I know that ##100^@ "C" = 212^@ "F"## is the boiling point of water, so let's see if that works.

##color(green)(T_C) = 5/9(212 - 32)##

##= 5/9(180)##

##= 5*20 = color(green)(100^@ "C")##

Yep. Now use it on ##45^@ "C"##.

##45 = 5/9(T_F - 32)##

##405/5 = T_F - 32##

##81 + 32 = color(blue)(113^@ "F" = T_F)##