Solve 14.695-13.881/14.695100=10z

$$\frac{ 14.695-13.881 }{ 14.695 } 100 = 10z$$

Solve for z

$$z=\frac{1628}{2939}\approx 0.553929908$$

Steps for Solving Linear Equation

Subtract 13.881 from 14.695 to get 0.814.

$$\frac{0.814}{14.695}\times 100=10z$$

Expand \frac{0.814}{14.695} by multiplying both numerator and the denominator by 1000.

$$\frac{814}{14695}\times 100=10z$$

Express \frac{814}{14695}\times 100 as a single fraction.

$$\frac{814\times 100}{14695}=10z$$

Multiply 814 and 100 to get 81400.

$$\frac{81400}{14695}=10z$$

Reduce the fraction \frac{81400}{14695} to lowest terms by extracting and canceling out 5.

$$\frac{16280}{2939}=10z$$

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

$$10z=\frac{16280}{2939}$$

Divide both sides by 10.

$$z=\frac{\frac{16280}{2939}}{10}$$

Express \frac{\frac{16280}{2939}}{10} as a single fraction.

$$z=\frac{16280}{2939\times 10}$$

Multiply 2939 and 10 to get 29390.

$$z=\frac{16280}{29390}$$

Reduce the fraction \frac{16280}{29390} to lowest terms by extracting and canceling out 10.

$$z=\frac{1628}{2939}$$