Solve 4-1/3/x=5/3/18

$$\frac{ 4- \frac{ 1 }{ 3 } }{ x } = \frac{ \frac{ 5 }{ 3 } }{ 18 }$$

Solve for x

$$x = \frac{198}{5} = 39\frac{3}{5} = 39.6$$

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 18x, the least common multiple of x,18.

$$18\left(4-\frac{1}{3}\right)=x\times \frac{5}{3}$$

Convert 4 to fraction \frac{12}{3}.

$$18\left(\frac{12}{3}-\frac{1}{3}\right)=x\times \frac{5}{3}$$

Since \frac{12}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$18\times \frac{12-1}{3}=x\times \frac{5}{3}$$

Subtract 1 from 12 to get 11.

$$18\times \frac{11}{3}=x\times \frac{5}{3}$$

Express 18\times \frac{11}{3} as a single fraction.

$$\frac{18\times 11}{3}=x\times \frac{5}{3}$$

Multiply 18 and 11 to get 198.

$$\frac{198}{3}=x\times \frac{5}{3}$$

Divide 198 by 3 to get 66.

$$66=x\times \frac{5}{3}$$

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

$$x\times \frac{5}{3}=66$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=66\times \frac{3}{5}$$

Express 66\times \frac{3}{5} as a single fraction.

$$x=\frac{66\times 3}{5}$$

Multiply 66 and 3 to get 198.

$$x=\frac{198}{5}$$