Solve 12.04-10.728/12.04100=left(740-721right)z

$$\frac{ 12.04-10.728 }{ 12.04 } 100 = \left( 740-721 \right) z$$

Solve for z

$$z=\frac{3280}{5719}\approx 0.57352684$$

Steps for Solving Linear Equation

Subtract 10.728 from 12.04 to get 1.312.

$$\frac{1.312}{12.04}\times 100=\left(740-721\right)z$$

Expand \frac{1.312}{12.04} by multiplying both numerator and the denominator by 1000.

$$\frac{1312}{12040}\times 100=\left(740-721\right)z$$

Reduce the fraction \frac{1312}{12040} to lowest terms by extracting and canceling out 8.

$$\frac{164}{1505}\times 100=\left(740-721\right)z$$

Express \frac{164}{1505}\times 100 as a single fraction.

$$\frac{164\times 100}{1505}=\left(740-721\right)z$$

Multiply 164 and 100 to get 16400.

$$\frac{16400}{1505}=\left(740-721\right)z$$

Reduce the fraction \frac{16400}{1505} to lowest terms by extracting and canceling out 5.

$$\frac{3280}{301}=\left(740-721\right)z$$

Subtract 721 from 740 to get 19.

$$\frac{3280}{301}=19z$$

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

$$19z=\frac{3280}{301}$$

Divide both sides by 19.

$$z=\frac{\frac{3280}{301}}{19}$$

Express \frac{\frac{3280}{301}}{19} as a single fraction.

$$z=\frac{3280}{301\times 19}$$

Multiply 301 and 19 to get 5719.

$$z=\frac{3280}{5719}$$