How do you convert 180° F to Celsius?

Question

Skylar Adams · Accepted Answer

approximately #82.22^@C#

To convert from Fahrenheit to Celsius, use the formula:

#color(blue)(|bar(ul(color(white)(a/a)T_(@C)=(T_(@F)-32)xx5/9color(white)(a/a)|)))#

Substitute #T_(@F)# as #180# and solve for #T_(@C)#.

#T_(@C)=(T_(@F)-32)xx5/9#

#T_(@C)=(180-32)xx5/9#

#T_(@C)=148xx5/9#

#color(green)(|bar(ul(color(white)(a/a)T_(@C)~~82.22^@Ccolor(white)(a/a)|)))#

Levi Adams · Answer

#180^@"F" = 82.bar(2)^@"C"#

The "standard" way of converting from Fahrenheit to Celsius is:

Subtract #32#

Multiply by #5/9#

So in our example:

#(180-32) * 5/9 = 148*5/9 = 740/9 = 82.bar(2)#

Conversely, to convert Celsius to Fahrenheit, reverse this process:

Multiply by #9/5" "# (equivalent to dividing by #5/9#)

Add #32#

So if we were starting with #82.bar(2)^@C#, we would find:

#(82.bar(2) * 9/5)+32 = (740/5)+32 = 148+32 = 180#

Alternatively, note that #-40^@F = -40^@C#, so we can convert from Fahrenheit to Celsius by the following steps:

Add #40#

Multiply by #5/9#

Subtract #40#

Then we find:

#(180+40)*5/9-40 = 220*5/9-40 = 1100/9-40 = 122.bar(2)-40 = 82.bar(2)#

Similarly, we can convert Celsius to Fahrenheit by:

Add #40#

Multiply by #9/5#

Subtract #40#

So:

#(82.bar(2)+40)*9/5-40 = 122.bar(2)*9/5-40 = 1100/5-40 = 220-40 = 180#

Roman Alvarez · Answer

undefined To convert 180°F to Celsius, you subtract 32 from 180 and then multiply the result by 5/9.

180°F - 32 = 148°F

148°F × 5/9 = 82.22°C

So, 180°F is equal to approximately 82.22°C.