Solve 170/x=33/55

$$\frac { 170 } { x } = \frac { 33 } { 55 }$$

Solve for x

$$x = \frac{850}{3} = 283\frac{1}{3} \approx 283.333333333$$

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 55x, the least common multiple of x,55.

$$55\times 170=x\times 33$$

Multiply 55 and 170 to get 9350.

$$9350=x\times 33$$

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

$$x\times 33=9350$$

Divide both sides by 33.

$$x=\frac{9350}{33}$$

Reduce the fraction \frac{9350}{33} to lowest terms by extracting and canceling out 11.

$$x=\frac{850}{3}$$