How do you convert 180° F to Celsius?
2 Answers
approximately
Explanation:
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_(@C)=(T_(@F)32)xx5/9#
#T_(@C)=(18032)xx5/9#
#T_(@C)=148xx5/9#
#color(green)(bar(ul(color(white)(a/a)T_(@C)~~82.22^@Ccolor(white)(a/a))))#
Explanation:
The "standard" way of converting from Fahrenheit to Celsius is:

Subtract
#32# 
Multiply by
#5/9#
So in our example:
#(18032) * 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) * 9/5)+32 = (740/5)+32 = 148+32 = 180#
Alternatively, note that

Add
#40# 
Multiply by
#5/9# 
Subtract
#40#
Then we find:
#(180+40)*5/940 = 220*5/940 = 1100/940 = 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)*9/540 = 122.bar(2)*9/540 = 1100/540 = 22040 = 180#