Solve 114/x=233/11.65

$$\frac { 114 } { x } = \frac { 233 } { 11.65 }$$

Solve for x

$$x=5.7$$

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.

$$114=x\times \frac{233}{11.65}$$

Expand \frac{233}{11.65} by multiplying both numerator and the denominator by 100.

$$114=x\times \frac{23300}{1165}$$

Divide 23300 by 1165 to get 20.

$$114=x\times 20$$

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

$$x\times 20=114$$

Divide both sides by 20.

$$x=\frac{114}{20}$$

Reduce the fraction \frac{114}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{57}{10}$$