Solve 23.148-20.285/23.148100/604-576=z

$$\frac{ \frac{ 23.148-20.285 }{ 23.148 } 100 }{ 604-576 } = z$$

Solve for z

$$z=\frac{10225}{23148}\approx 0.441722827$$

Steps for Solving Linear Equation

Subtract 20.285 from 23.148 to get 2.863.

$$\frac{\frac{2.863}{23.148}\times 100}{604-576}=z$$

Expand \frac{2.863}{23.148} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{2863}{23148}\times 100}{604-576}=z$$

Express \frac{2863}{23148}\times 100 as a single fraction.

$$\frac{\frac{2863\times 100}{23148}}{604-576}=z$$

Multiply 2863 and 100 to get 286300.

$$\frac{\frac{286300}{23148}}{604-576}=z$$

Reduce the fraction \frac{286300}{23148} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{71575}{5787}}{604-576}=z$$

Subtract 576 from 604 to get 28.

$$\frac{\frac{71575}{5787}}{28}=z$$

Express \frac{\frac{71575}{5787}}{28} as a single fraction.

$$\frac{71575}{5787\times 28}=z$$

Multiply 5787 and 28 to get 162036.

$$\frac{71575}{162036}=z$$

Reduce the fraction \frac{71575}{162036} to lowest terms by extracting and canceling out 7.

$$\frac{10225}{23148}=z$$

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

$$z=\frac{10225}{23148}$$