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)=(180-32)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:
#(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) * 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)*5/9-40 = 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#