Solve left|-3.6+3.59right|/left|-3.59right|100

$$\frac{ \left| -3.6+3.59 \right| }{ \left| -3.59 \right| } 100$$

Evaluate

$$\frac{100}{359}\approx 0.278551532$$

Solution Steps

Add -3.6 and 3.59 to get -0.01.

$$\frac{|-0.01|}{|-3.59|}\times 100$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.01 is 0.01.

$$\frac{0.01}{|-3.59|}\times 100$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -3.59 is 3.59.

$$\frac{0.01}{3.59}\times 100$$

Expand \frac{0.01}{3.59} by multiplying both numerator and the denominator by 100.

$$\frac{1}{359}\times 100$$

Multiply \frac{1}{359} and 100 to get \frac{100}{359}.

$$\frac{100}{359}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{359} = 0.2785515320334262$$