Solve 3/2--5/3

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

Evaluate

$$\frac{19}{6}\approx 3.166666667$$

Solution Steps

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

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

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

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

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

$$\frac{9}{6}+\frac{10}{6}$$

Since \frac{9}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{6}$$

Add 9 and 10 to get 19.

$$\frac{19}{6}$$

Factor

$$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$$