Solve 2004+2/13/2002+frac{28{13}}+2003

$$\frac { 2004 + \frac { 2 } { 13 } } { 2002 + \frac { 28 } { 13 } } + 2003$$

Evaluate

$$2004$$

Solution Steps

Convert 2004 to fraction \frac{26052}{13}.

$$\frac{\frac{26052}{13}+\frac{2}{13}}{2002+\frac{28}{13}}+2003$$

Since \frac{26052}{13} and \frac{2}{13} have the same denominator, add them by adding their numerators.

$$\frac{\frac{26052+2}{13}}{2002+\frac{28}{13}}+2003$$

Add 26052 and 2 to get 26054.

$$\frac{\frac{26054}{13}}{2002+\frac{28}{13}}+2003$$

Convert 2002 to fraction \frac{26026}{13}.

$$\frac{\frac{26054}{13}}{\frac{26026}{13}+\frac{28}{13}}+2003$$

Since \frac{26026}{13} and \frac{28}{13} have the same denominator, add them by adding their numerators.

$$\frac{\frac{26054}{13}}{\frac{26026+28}{13}}+2003$$

Add 26026 and 28 to get 26054.

$$\frac{\frac{26054}{13}}{\frac{26054}{13}}+2003$$

Divide \frac{26054}{13} by \frac{26054}{13} to get 1.

$$1+2003$$

Add 1 and 2003 to get 2004.

$$2004$$

Factor

$$2^{2}\times 3\times 167$$