Solve 20031/2001-20012002/2001=

$$2003 \frac { 1 } { 2001 } - 2001 \frac { 2002 } { 2001 } =$$

Evaluate

$$1$$

Solution Steps

Multiply 2003 and 2001 to get 4008003.

$$\frac{4008003+1}{2001}-\frac{2001\times 2001+2002}{2001}$$

Add 4008003 and 1 to get 4008004.

$$\frac{4008004}{2001}-\frac{2001\times 2001+2002}{2001}$$

Multiply 2001 and 2001 to get 4004001.

$$\frac{4008004}{2001}-\frac{4004001+2002}{2001}$$

Add 4004001 and 2002 to get 4006003.

$$\frac{4008004}{2001}-\frac{4006003}{2001}$$

Since \frac{4008004}{2001} and \frac{4006003}{2001} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4008004-4006003}{2001}$$

Subtract 4006003 from 4008004 to get 2001.

$$\frac{2001}{2001}$$

Divide 2001 by 2001 to get 1.

$$1$$

Factor

$$1$$