Solve 6.800-6.408/6.800100=left(892-883right)z

$$\frac{ 6.800-6.408 }{ 6.800 } 100 = \left( 892-883 \right) z$$

Solve for z

$$z=\frac{98}{153}\approx 0.640522876$$

Steps for Solving Linear Equation

Subtract 6.408 from 6.8 to get 0.392.

$$\frac{0.392}{6.8}\times 100=\left(892-883\right)z$$

Expand \frac{0.392}{6.8} by multiplying both numerator and the denominator by 1000.

$$\frac{392}{6800}\times 100=\left(892-883\right)z$$

Reduce the fraction \frac{392}{6800} to lowest terms by extracting and canceling out 8.

$$\frac{49}{850}\times 100=\left(892-883\right)z$$

Express \frac{49}{850}\times 100 as a single fraction.

$$\frac{49\times 100}{850}=\left(892-883\right)z$$

Multiply 49 and 100 to get 4900.

$$\frac{4900}{850}=\left(892-883\right)z$$

Reduce the fraction \frac{4900}{850} to lowest terms by extracting and canceling out 50.

$$\frac{98}{17}=\left(892-883\right)z$$

Subtract 883 from 892 to get 9.

$$\frac{98}{17}=9z$$

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

$$9z=\frac{98}{17}$$

Divide both sides by 9.

$$z=\frac{\frac{98}{17}}{9}$$

Express \frac{\frac{98}{17}}{9} as a single fraction.

$$z=\frac{98}{17\times 9}$$

Multiply 17 and 9 to get 153.

$$z=\frac{98}{153}$$