Solve 1+-3/2-5/-3

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

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

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

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

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

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

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

Subtract 3 from 2 to get -1.

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

Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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

The opposite of -\frac{5}{3} is \frac{5}{3}.

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

Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{5}{3} to fractions with denominator 6.

$$-\frac{3}{6}+\frac{10}{6}$$

Since -\frac{3}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{-3+10}{6}$$

Add -3 and 10 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$