Solve for f
f=\frac{1}{a}
a\neq 0
Solve for a
a=\frac{1}{f}
f\neq 0
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\frac{1}{f}=a
Reorder the terms.
1=af
Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by f.
af=1
Swap sides so that all variable terms are on the left hand side.
\frac{af}{a}=\frac{1}{a}
Divide both sides by a.
f=\frac{1}{a}
Dividing by a undoes the multiplication by a.
f=\frac{1}{a}\text{, }f\neq 0
Variable f cannot be equal to 0.
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