Question

Degrees Celsius and degrees Fahrenheit are related by C=5/9(F-32).What is F in terms of C?

Answer 1

We are given: Degrees Celsius and degrees Fahrenheit are related by formula

$C=\frac{5}{9} (F-32)$

To find : Solve formula for F in terms of C.

Solution: We have , $C=\frac{5}{9} (F-32)$

First we need to get rid 9 from right denominator.

In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.

$9*C=9*\frac{5}{9} (F-32)$

9C = 5 (F-32).

Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.

9C = 5F - 160.

Adding 160 on both sides,

9C+160 = 5F - 160+160.

9C+160 =5F

Dividing both sides by 5, we get

(9C+160)/5 =5F/5.

$\frac{9C+160}{5}=F$

Splitting fraction 1/5, we get

$F= \frac{1}{5} (9C+160)$.