Solve 1/0.03-1/3.3=1/x

$$\frac{ 1 }{ 0.03 } - \frac{ 1 }{ 3.3 } = \frac{ 1 }{ x }$$

Solve for x

$$x=\frac{33}{1090}\approx 0.030275229$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{1}{0.03}-x\times \frac{1}{3.3}=1$$

Expand \frac{1}{0.03} by multiplying both numerator and the denominator by 100.

$$x\times \frac{100}{3}-x\times \frac{1}{3.3}=1$$

Expand \frac{1}{3.3} by multiplying both numerator and the denominator by 10.

$$x\times \frac{100}{3}-x\times \frac{10}{33}=1$$

Multiply -1 and \frac{10}{33} to get -\frac{10}{33}.

$$x\times \frac{100}{3}-\frac{10}{33}x=1$$

Combine x\times \frac{100}{3} and -\frac{10}{33}x to get \frac{1090}{33}x.

$$\frac{1090}{33}x=1$$

Multiply both sides by \frac{33}{1090}, the reciprocal of \frac{1090}{33}.

$$x=1\times \frac{33}{1090}$$

Multiply 1 and \frac{33}{1090} to get \frac{33}{1090}.

$$x=\frac{33}{1090}$$