Solve 1/1+10frac{z-1{9001}}

$$\frac { 1 } { 1 + 10 \frac { z - 1 } { 9001 } }$$

Evaluate

$$\frac{9001}{10z+8991}$$

Short Solution Steps

Express 10\times \frac{z-1}{9001} as a single fraction.

$$\frac{1}{1+\frac{10\left(z-1\right)}{9001}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{9001}{9001}.

$$\frac{1}{\frac{9001}{9001}+\frac{10\left(z-1\right)}{9001}}$$

Since \frac{9001}{9001} and \frac{10\left(z-1\right)}{9001} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{9001+10\left(z-1\right)}{9001}}$$

Do the multiplications in 9001+10\left(z-1\right).

$$\frac{1}{\frac{9001+10z-10}{9001}}$$

Combine like terms in 9001+10z-10.

$$\frac{1}{\frac{8991+10z}{9001}}$$

Divide 1 by \frac{8991+10z}{9001} by multiplying 1 by the reciprocal of \frac{8991+10z}{9001}.

$$\frac{9001}{8991+10z}$$

Expand

$$\frac{9001}{10z+8991}$$

Short Solution Steps

Express 10\times \frac{z-1}{9001} as a single fraction.

$$\frac{1}{1+\frac{10\left(z-1\right)}{9001}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{9001}{9001}.

$$\frac{1}{\frac{9001}{9001}+\frac{10\left(z-1\right)}{9001}}$$

Since \frac{9001}{9001} and \frac{10\left(z-1\right)}{9001} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{9001+10\left(z-1\right)}{9001}}$$

Do the multiplications in 9001+10\left(z-1\right).

$$\frac{1}{\frac{9001+10z-10}{9001}}$$

Combine like terms in 9001+10z-10.

$$\frac{1}{\frac{8991+10z}{9001}}$$

Divide 1 by \frac{8991+10z}{9001} by multiplying 1 by the reciprocal of \frac{8991+10z}{9001}.

$$\frac{9001}{8991+10z}$$