Solve 16/40=4/frac{6{3}x}

$$\frac { 16 } { 40 } = \frac { 4 } { \frac { 6 } { 3 } x }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Reduce the fraction \frac{16}{40} to lowest terms by extracting and canceling out 8.

$$\frac{2}{5}=\frac{4}{\frac{6}{3}x}$$

Divide 6 by 3 to get 2.

$$\frac{2}{5}=\frac{4}{2x}$$

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

$$\frac{4}{2x}=\frac{2}{5}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 2x,5.

$$5\times 4=4x$$

Cancel out 4 on both sides.

$$5=x$$

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

$$x=5$$