Solve 7.818-7.675/7.818100=left(867-865right)z

$$\frac{ 7.818-7.675 }{ 7.818 } 100 = \left( 867-865 \right) z$$

Solve for z

$$z=\frac{3575}{3909}\approx 0.914556152$$

Steps for Solving Linear Equation

Subtract 7.675 from 7.818 to get 0.143.

$$\frac{0.143}{7.818}\times 100=\left(867-865\right)z$$

Expand \frac{0.143}{7.818} by multiplying both numerator and the denominator by 1000.

$$\frac{143}{7818}\times 100=\left(867-865\right)z$$

Express \frac{143}{7818}\times 100 as a single fraction.

$$\frac{143\times 100}{7818}=\left(867-865\right)z$$

Multiply 143 and 100 to get 14300.

$$\frac{14300}{7818}=\left(867-865\right)z$$

Reduce the fraction \frac{14300}{7818} to lowest terms by extracting and canceling out 2.

$$\frac{7150}{3909}=\left(867-865\right)z$$

Subtract 865 from 867 to get 2.

$$\frac{7150}{3909}=2z$$

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

$$2z=\frac{7150}{3909}$$

Divide both sides by 2.

$$z=\frac{\frac{7150}{3909}}{2}$$

Express \frac{\frac{7150}{3909}}{2} as a single fraction.

$$z=\frac{7150}{3909\times 2}$$

Multiply 3909 and 2 to get 7818.

$$z=\frac{7150}{7818}$$

Reduce the fraction \frac{7150}{7818} to lowest terms by extracting and canceling out 2.

$$z=\frac{3575}{3909}$$