Solve frac{2sqrt{2}}{x}=8/3

$$\frac{ 2 \sqrt{ 2 } }{ x } = \frac{ 8 }{ 3 }$$

Solve for x

$$x = \frac{3 \sqrt{2}}{4} \approx 1.060660172$$

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 3x, the least common multiple of x,3.

$$3\times 2\sqrt{2}=8x$$

Multiply 3 and 2 to get 6.

$$6\sqrt{2}=8x$$

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

$$8x=6\sqrt{2}$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{6\sqrt{2}}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{6\sqrt{2}}{8}$$

Divide 6\sqrt{2} by 8.

$$x=\frac{3\sqrt{2}}{4}$$