\(\frac{4}{f} + 11 = 29\)
First, subtract '11' from each side.
\(\frac{4}{f} = 29 - 11\)
Second, subtract '29 - 11' to get '18'.
\(\frac{4}{f} = 18\)
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.
\(\frac{4}{18} = f\)
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).
\(4 \div 2 = 2 \\ 18 \div 2 = 9\)
Seventh, we can now rewrite our fraction in simplest form and switch sides.
\(f = \frac{2}{9}\)
Answer in fraction form: \(\fbox {2/9}\)
Answer in decimal form: \(\fbox {0.2222}\)
