# How do you solve for f in t=1/f ?

Jun 14, 2016

$f = \frac{1}{t}$

#### Explanation:

Given,

$t = \frac{1}{f}$

Multiply both sides by $\textcolor{red}{f}$.

$\textcolor{red}{f} \textcolor{b l a c k}{\left(t\right)} = \textcolor{red}{f} \textcolor{b l a c k}{\left(\frac{1}{f}\right)}$

$f t = 1$

Divide both sides by $t$.

$\textcolor{red}{\frac{\textcolor{b l a c k}{f t}}{t}} = \textcolor{red}{\frac{\textcolor{b l a c k}{1}}{t}}$

$f = \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\frac{1}{t}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$