How do you convert 45°C to Fahrenheit?

1 Answer
Jun 2, 2016

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)#