Solve left|164.59right|/left|165right|

$$\frac{ \left| 164.59 \right| }{ \left| 165 \right| }$$

Evaluate

$$\frac{16459}{16500}\approx 0.997515152$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 164.59 is 164.59.

$$\frac{164.59}{|165|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 165 is 165.

$$\frac{164.59}{165}$$

Expand \frac{164.59}{165} by multiplying both numerator and the denominator by 100.

$$\frac{16459}{16500}$$

Factor

$$\frac{109 \cdot 151}{3 \cdot 11 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 0.9975151515151515$$