Solve 345/x=376/11.65

$$\frac { 345 } { x } = \frac { 376 } { 11.65 }$$

Solve for x

$$x = \frac{16077}{1504} = 10\frac{1037}{1504} \approx 10.689494681$$

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.

$$345=x\times \frac{376}{11.65}$$

Expand \frac{376}{11.65} by multiplying both numerator and the denominator by 100.

$$345=x\times \frac{37600}{1165}$$

Reduce the fraction \frac{37600}{1165} to lowest terms by extracting and canceling out 5.

$$345=x\times \frac{7520}{233}$$

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

$$x\times \frac{7520}{233}=345$$

Multiply both sides by \frac{233}{7520}, the reciprocal of \frac{7520}{233}.

$$x=345\times \frac{233}{7520}$$

Express 345\times \frac{233}{7520} as a single fraction.

$$x=\frac{345\times 233}{7520}$$

Multiply 345 and 233 to get 80385.

$$x=\frac{80385}{7520}$$

Reduce the fraction \frac{80385}{7520} to lowest terms by extracting and canceling out 5.

$$x=\frac{16077}{1504}$$