Solve 2008+2007*2009/2008*2009-1+2009+2008*2010/2010*2009-1

$$\frac { 2008 + 2007 \times 2009 } { 2008 \times 2009 - 1 } + \frac { 2009 + 2008 \times 2010 } { 2010 \times 2009 - 1 }$$

Evaluate

$$2$$

Solution Steps

Multiply 2007 and 2009 to get 4032063.

$$\frac{2008+4032063}{2008\times 2009-1}+\frac{2009+2008\times 2010}{2010\times 2009-1}$$

Add 2008 and 4032063 to get 4034071.

$$\frac{4034071}{2008\times 2009-1}+\frac{2009+2008\times 2010}{2010\times 2009-1}$$

Multiply 2008 and 2009 to get 4034072.

$$\frac{4034071}{4034072-1}+\frac{2009+2008\times 2010}{2010\times 2009-1}$$

Subtract 1 from 4034072 to get 4034071.

$$\frac{4034071}{4034071}+\frac{2009+2008\times 2010}{2010\times 2009-1}$$

Divide 4034071 by 4034071 to get 1.

$$1+\frac{2009+2008\times 2010}{2010\times 2009-1}$$

Multiply 2008 and 2010 to get 4036080.

$$1+\frac{2009+4036080}{2010\times 2009-1}$$

Add 2009 and 4036080 to get 4038089.

$$1+\frac{4038089}{2010\times 2009-1}$$

Multiply 2010 and 2009 to get 4038090.

$$1+\frac{4038089}{4038090-1}$$

Subtract 1 from 4038090 to get 4038089.

$$1+\frac{4038089}{4038089}$$

Divide 4038089 by 4038089 to get 1.

$$1+1$$

Add 1 and 1 to get 2.

$$2$$

Factor

$$2$$