Solve 117/z=376/11.65

$$\frac { 117 } { z } = \frac { 376 } { 11.65 }$$

Solve for z

$$z = \frac{27261}{7520} = 3\frac{4701}{7520} \approx 3.625132979$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by z.

$$117=z\times \frac{376}{11.65}$$

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

$$117=z\times \frac{37600}{1165}$$

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

$$117=z\times \frac{7520}{233}$$

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

$$z\times \frac{7520}{233}=117$$

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

$$z=117\times \frac{233}{7520}$$

Express 117\times \frac{233}{7520} as a single fraction.

$$z=\frac{117\times 233}{7520}$$

Multiply 117 and 233 to get 27261.

$$z=\frac{27261}{7520}$$