Question

Temperatures in °F can be converted in °C using the formula

C=5(F-32)/9
Make F the subject of the formula
Give your answer in the form aC+b/c where a,b and c are all positive integers

Answer 1

Explanation:

To make F the subject of the formula, you need to solve for F in the equation C = 5(F-32)/9.

You can do this by first multiplying both sides of the equation by 9 to get rid of the fraction:

C * 9 = 5(F-32)

Then, you can distribute the 5 on the right side of the equation:

C * 9 = 5F - 160

Then, you can add 160 to both sides of the equation to isolate the F term:

C * 9 + 160 = 5F

Finally, you can divide both sides of the equation by 5 to solve for F:

F = (C * 9 + 160)/5

This gives you the final form of the equation:

F = (9C + 160)/5

In this form, F is the subject of the formula. a = 9, b = 160, and c = 5 are all positive integers.

Answer 2

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

Explanation:

Given equation:

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

Multiply both sides by 9:

`\implies 9C=5(F-32)`

Divide both sides by 5:

`\implies (9C)/(5)=F-32`

Add 32 to both sides:

`\implies (9C)/(5)+32=F`

`\implies F=(9C)/(5)+32`

Rewrite 32 as a fraction with denominator 5:

`\implies F=(9C)/(5)+(32 \cdot 5)/(5)`

`\implies F=(9C)/(5)+(160)/(5)`

`\textsf{Apply the fraction rule} \quad (a)/(c)+(b)/(c)=(a+b)/(c):`

`\implies F=(9C+160)/(5)`