Solve 16.019-14.647/16.019100=16z

$$\frac{ 16.019-14.647 }{ 16.019 } 100 = 16z$$

Solve for z

$$z=\frac{8575}{16019}\approx 0.535301829$$

Steps for Solving Linear Equation

Subtract 14.647 from 16.019 to get 1.372.

$$\frac{1.372}{16.019}\times 100=16z$$

Expand \frac{1.372}{16.019} by multiplying both numerator and the denominator by 1000.

$$\frac{1372}{16019}\times 100=16z$$

Express \frac{1372}{16019}\times 100 as a single fraction.

$$\frac{1372\times 100}{16019}=16z$$

Multiply 1372 and 100 to get 137200.

$$\frac{137200}{16019}=16z$$

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

$$16z=\frac{137200}{16019}$$

Divide both sides by 16.

$$z=\frac{\frac{137200}{16019}}{16}$$

Express \frac{\frac{137200}{16019}}{16} as a single fraction.

$$z=\frac{137200}{16019\times 16}$$

Multiply 16019 and 16 to get 256304.

$$z=\frac{137200}{256304}$$

Reduce the fraction \frac{137200}{256304} to lowest terms by extracting and canceling out 16.

$$z=\frac{8575}{16019}$$