Solve 12.04-10.838/12.04100=left(743-721right)z

$$\frac{ 12.04-10.838 }{ 12.04 } 100 = \left( 743-721 \right) z$$

Solve for z

$$z=\frac{3005}{6622}\approx 0.453790396$$

Steps for Solving Linear Equation

Subtract 10.838 from 12.04 to get 1.202.

$$\frac{1.202}{12.04}\times 100=\left(743-721\right)z$$

Expand \frac{1.202}{12.04} by multiplying both numerator and the denominator by 1000.

$$\frac{1202}{12040}\times 100=\left(743-721\right)z$$

Reduce the fraction \frac{1202}{12040} to lowest terms by extracting and canceling out 2.

$$\frac{601}{6020}\times 100=\left(743-721\right)z$$

Express \frac{601}{6020}\times 100 as a single fraction.

$$\frac{601\times 100}{6020}=\left(743-721\right)z$$

Multiply 601 and 100 to get 60100.

$$\frac{60100}{6020}=\left(743-721\right)z$$

Reduce the fraction \frac{60100}{6020} to lowest terms by extracting and canceling out 20.

$$\frac{3005}{301}=\left(743-721\right)z$$

Subtract 721 from 743 to get 22.

$$\frac{3005}{301}=22z$$

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

$$22z=\frac{3005}{301}$$

Divide both sides by 22.

$$z=\frac{\frac{3005}{301}}{22}$$

Express \frac{\frac{3005}{301}}{22} as a single fraction.

$$z=\frac{3005}{301\times 22}$$

Multiply 301 and 22 to get 6622.

$$z=\frac{3005}{6622}$$