Solve 1+-3/+2-25/-3

$$1 + \frac { - 3 } { + 2 } - 2 \frac { 5 } { - 3 }$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$1-\frac{3}{2}-\frac{2\left(-3\right)+5}{-3}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}-\frac{3}{2}-\frac{2\left(-3\right)+5}{-3}$$

Since \frac{2}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-3}{2}-\frac{2\left(-3\right)+5}{-3}$$

Subtract 3 from 2 to get -1.

$$-\frac{1}{2}-\frac{2\left(-3\right)+5}{-3}$$

Multiply 2 and -3 to get -6.

$$-\frac{1}{2}-\frac{-6+5}{-3}$$

Add -6 and 5 to get -1.

$$-\frac{1}{2}-\frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$-\frac{1}{2}-\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{3}{6}-\frac{2}{6}$$

Since -\frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-2}{6}$$

Subtract 2 from -3 to get -5.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$