Solve left|-1.287-1.3right|/-1.287

$$\frac{ \left| -1.287-1.3 \right| }{ -1.287 }$$

Evaluate

$$-\frac{199}{99}\approx -2.01010101$$

Solution Steps

Subtract 1.3 from -1.287 to get -2.587.

$$\frac{|-2.587|}{-1.287}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2.587 is 2.587.

$$\frac{2.587}{-1.287}$$

Expand \frac{2.587}{-1.287} by multiplying both numerator and the denominator by 1000.

$$\frac{2587}{-1287}$$

Reduce the fraction \frac{2587}{-1287} to lowest terms by extracting and canceling out 13.

$$-\frac{199}{99}$$

Factor

$$-\frac{199}{99} = -2\frac{1}{99} = -2.01010101010101$$