Solve 7.818-7.622/7.818100=12z

$$\frac{ 7.818-7.622 }{ 7.818 } 100 = 12z$$

Solve for z

$$z=\frac{2450}{11727}\approx 0.208919587$$

Steps for Solving Linear Equation

Subtract 7.622 from 7.818 to get 0.196.

$$\frac{0.196}{7.818}\times 100=12z$$

Expand \frac{0.196}{7.818} by multiplying both numerator and the denominator by 1000.

$$\frac{196}{7818}\times 100=12z$$

Reduce the fraction \frac{196}{7818} to lowest terms by extracting and canceling out 2.

$$\frac{98}{3909}\times 100=12z$$

Express \frac{98}{3909}\times 100 as a single fraction.

$$\frac{98\times 100}{3909}=12z$$

Multiply 98 and 100 to get 9800.

$$\frac{9800}{3909}=12z$$

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

$$12z=\frac{9800}{3909}$$

Divide both sides by 12.

$$z=\frac{\frac{9800}{3909}}{12}$$

Express \frac{\frac{9800}{3909}}{12} as a single fraction.

$$z=\frac{9800}{3909\times 12}$$

Multiply 3909 and 12 to get 46908.

$$z=\frac{9800}{46908}$$

Reduce the fraction \frac{9800}{46908} to lowest terms by extracting and canceling out 4.

$$z=\frac{2450}{11727}$$