Solve A=202-1/202-frac{1{202-1}}

$$A = 202 - \frac { 1 } { 202 - \frac { 1 } { 202 - 1 } }$$

Solve for A

$$A = \frac{8201201}{40601} = 201\frac{40400}{40601} \approx 201.995049383$$

Steps for Solving Linear Equation

Subtract 1 from 202 to get 201.

$$A=202-\frac{1}{202-\frac{1}{201}}$$

Convert 202 to fraction \frac{40602}{201}.

$$A=202-\frac{1}{\frac{40602}{201}-\frac{1}{201}}$$

Since \frac{40602}{201} and \frac{1}{201} have the same denominator, subtract them by subtracting their numerators.

$$A=202-\frac{1}{\frac{40602-1}{201}}$$

Subtract 1 from 40602 to get 40601.

$$A=202-\frac{1}{\frac{40601}{201}}$$

Divide 1 by \frac{40601}{201} by multiplying 1 by the reciprocal of \frac{40601}{201}.

$$A=202-1\times \frac{201}{40601}$$

Multiply 1 and \frac{201}{40601} to get \frac{201}{40601}.

$$A=202-\frac{201}{40601}$$

Convert 202 to fraction \frac{8201402}{40601}.

$$A=\frac{8201402}{40601}-\frac{201}{40601}$$

Since \frac{8201402}{40601} and \frac{201}{40601} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{8201402-201}{40601}$$

Subtract 201 from 8201402 to get 8201201.

$$A=\frac{8201201}{40601}$$

Assign A

$$A≔\frac{8201201}{40601}$$