How do you convert 180° F to Celsius?

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Answer 1 · 2016-03-29T19:30:29

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 $T_(@C)$ .

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

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

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

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

Answer 2 · 2017-07-18T21:12:16

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

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

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:

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:

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:

So:

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