Solve left|1645-1650right|/left|1645right|

$$\frac{ \left| 1645-1650 \right| }{ \left| 1645 \right| }$$

Evaluate

$$\frac{1}{329}\approx 0.003039514$$

Solution Steps

Subtract 1650 from 1645 to get -5.

$$\frac{|-5|}{|1645|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$\frac{5}{|1645|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1645 is 1645.

$$\frac{5}{1645}$$

Reduce the fraction \frac{5}{1645} to lowest terms by extracting and canceling out 5.

$$\frac{1}{329}$$

Factor

$$\frac{1}{7 \cdot 47} = 0.00303951367781155$$