Solve 15.964-14.078/15.964100/700-666=z

$$\frac{ \frac{ 15.964-14.078 }{ 15.964 } 100 }{ 700-666 } = z$$

Solve for z

$$z=\frac{23575}{67847}\approx 0.347472991$$

Steps for Solving Linear Equation

Subtract 14.078 from 15.964 to get 1.886.

$$\frac{\frac{1.886}{15.964}\times 100}{700-666}=z$$

Expand \frac{1.886}{15.964} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{1886}{15964}\times 100}{700-666}=z$$

Reduce the fraction \frac{1886}{15964} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{943}{7982}\times 100}{700-666}=z$$

Express \frac{943}{7982}\times 100 as a single fraction.

$$\frac{\frac{943\times 100}{7982}}{700-666}=z$$

Multiply 943 and 100 to get 94300.

$$\frac{\frac{94300}{7982}}{700-666}=z$$

Reduce the fraction \frac{94300}{7982} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{47150}{3991}}{700-666}=z$$

Subtract 666 from 700 to get 34.

$$\frac{\frac{47150}{3991}}{34}=z$$

Express \frac{\frac{47150}{3991}}{34} as a single fraction.

$$\frac{47150}{3991\times 34}=z$$

Multiply 3991 and 34 to get 135694.

$$\frac{47150}{135694}=z$$

Reduce the fraction \frac{47150}{135694} to lowest terms by extracting and canceling out 2.

$$\frac{23575}{67847}=z$$

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

$$z=\frac{23575}{67847}$$