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The formula for converting Fahrenheit to Celsius is:

C = (F - 32) x (5/9)

in other words, to get Celsius (C) take 32 off Fahrenheit (F) and multiply by five ninths.

The constant 5/9 is the factor difference between the two scales, the difference between freezing and boiling water in in Celsius is 100 degrees, but in Fahrenheit is 180 degrees (water freezes at 32 degrees Fahrenheit and boils at 212 degrees, 212 minus 32 = 180), 100/180 can be simplified to 5/9 (20 is the highest number they can both be divided by and goes into 100 five times and into 180 nine times).

The constant 32 is because the Fahrenheit scale starts at the freezing point of salt water whereas Celsius starts at the freezing point of fresh water, the freezing point of fresh water in the Fahrenheit scale is 32 degrees.

So to answer your question, if we take 32 off 48 we get 16, multiply this by five ninths by deviding 16 by 9 and multiplying the answer by 5. This gives us 8.9 (rounded to the nearest decimal place).

Therefore 48 degrees Fahrenheit is 8.9 degrees Celsius.

Instead of using the rather awkward fraction nine fifths we can also use the constant 1.8 like this:

C = (F - 32) / 1.8

8.9 = (48 - 32) / 1.8

8.9 = 16 / 1.8

To convert back to Fahrenheit we would either invert the fraction 5/9 to become 9/5, or use the constant 1.8, i.e.:

F = 1.8 C + 32

or

F = C x (9/5) + 32

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13y ago

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