Solve 10.997-9.052/10.997100=left(780-740right)z

$$\frac{ 10.997-9.052 }{ 10.997 } 100 = \left( 780-740 \right) z$$

Solve for z

$$z=\frac{9725}{21994}\approx 0.442166045$$

Steps for Solving Linear Equation

Subtract 9.052 from 10.997 to get 1.945.

$$\frac{1.945}{10.997}\times 100=\left(780-740\right)z$$

Expand \frac{1.945}{10.997} by multiplying both numerator and the denominator by 1000.

$$\frac{1945}{10997}\times 100=\left(780-740\right)z$$

Express \frac{1945}{10997}\times 100 as a single fraction.

$$\frac{1945\times 100}{10997}=\left(780-740\right)z$$

Multiply 1945 and 100 to get 194500.

$$\frac{194500}{10997}=\left(780-740\right)z$$

Subtract 740 from 780 to get 40.

$$\frac{194500}{10997}=40z$$

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

$$40z=\frac{194500}{10997}$$

Divide both sides by 40.

$$z=\frac{\frac{194500}{10997}}{40}$$

Express \frac{\frac{194500}{10997}}{40} as a single fraction.

$$z=\frac{194500}{10997\times 40}$$

Multiply 10997 and 40 to get 439880.

$$z=\frac{194500}{439880}$$

Reduce the fraction \frac{194500}{439880} to lowest terms by extracting and canceling out 20.

$$z=\frac{9725}{21994}$$