Question

4/f + 11 =29 what does f =

Answer 1

`(4)/(f) + 11 = 29`

First, subtract '11' from each side.

`(4)/(f) = 29 - 11`

Second, subtract '29 - 11' to get '18'.

`(4)/(f) = 18`

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.

`4 = 18f`

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.

`(4)/(18) = f`

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).

`4 / 2 = 2 \\ 18 / 2 = 9`

Seventh, we can now rewrite our fraction in simplest form and switch sides.

`f = (2)/(9)`

Answer in fraction form:
`\fbox {2/9}`
Answer in decimal form:
`\fbox {0.2222}`