Solve 994div19941994/2009

$$994 \div 1994 \frac { 1994 } { 2009 }$$

Evaluate

$$\frac{998473}{2003970}\approx 0.498247479$$

Solution Steps

Divide 994 by \frac{1994\times 2009+1994}{2009} by multiplying 994 by the reciprocal of \frac{1994\times 2009+1994}{2009}.

$$\frac{994\times 2009}{1994\times 2009+1994}$$

Multiply 994 and 2009 to get 1996946.

$$\frac{1996946}{1994\times 2009+1994}$$

Multiply 1994 and 2009 to get 4005946.

$$\frac{1996946}{4005946+1994}$$

Add 4005946 and 1994 to get 4007940.

$$\frac{1996946}{4007940}$$

Reduce the fraction \frac{1996946}{4007940} to lowest terms by extracting and canceling out 2.

$$\frac{998473}{2003970}$$

Factor

$$\frac{7 ^ {3} \cdot 41 \cdot 71}{2 \cdot 3 \cdot 5 \cdot 67 \cdot 997} = 0.49824747875467196$$