Solve 1/f=100*frac{sqrt{3}}{2}

$$\frac { 1 } { f } = 100 \times \frac { \sqrt { 3 } } { 2 }$$

Solve for f

$$f=\frac{\sqrt{3}}{150}\approx 0.011547005$$

Steps for Solving Linear Equation

Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2f, the least common multiple of f,2.

$$2=100f\sqrt{3}$$

Swap sides so that all variable terms are on the left hand side.

$$100f\sqrt{3}=2$$

The equation is in standard form.

$$100\sqrt{3}f=2$$

Divide both sides by 100\sqrt{3}.

$$\frac{100\sqrt{3}f}{100\sqrt{3}}=\frac{2}{100\sqrt{3}}$$

Dividing by 100\sqrt{3} undoes the multiplication by 100\sqrt{3}.

$$f=\frac{2}{100\sqrt{3}}$$

Divide 2 by 100\sqrt{3}.

$$f=\frac{\sqrt{3}}{150}$$