Solve 12.04-11.422/12.04100=left(732-721right)z

$$\frac{ 12.04-11.422 }{ 12.04 } 100 = \left( 732-721 \right) z$$

Solve for z

$$z=\frac{1545}{3311}\approx 0.466626397$$

Steps for Solving Linear Equation

Subtract 11.422 from 12.04 to get 0.618.

$$\frac{0.618}{12.04}\times 100=\left(732-721\right)z$$

Expand \frac{0.618}{12.04} by multiplying both numerator and the denominator by 1000.

$$\frac{618}{12040}\times 100=\left(732-721\right)z$$

Reduce the fraction \frac{618}{12040} to lowest terms by extracting and canceling out 2.

$$\frac{309}{6020}\times 100=\left(732-721\right)z$$

Express \frac{309}{6020}\times 100 as a single fraction.

$$\frac{309\times 100}{6020}=\left(732-721\right)z$$

Multiply 309 and 100 to get 30900.

$$\frac{30900}{6020}=\left(732-721\right)z$$

Reduce the fraction \frac{30900}{6020} to lowest terms by extracting and canceling out 20.

$$\frac{1545}{301}=\left(732-721\right)z$$

Subtract 721 from 732 to get 11.

$$\frac{1545}{301}=11z$$

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

$$11z=\frac{1545}{301}$$

Divide both sides by 11.

$$z=\frac{\frac{1545}{301}}{11}$$

Express \frac{\frac{1545}{301}}{11} as a single fraction.

$$z=\frac{1545}{301\times 11}$$

Multiply 301 and 11 to get 3311.

$$z=\frac{1545}{3311}$$