Solve -4/3-(-3/2)=

$$\frac { - 4 } { 3 } - ( \frac { - 3 } { 2 } ) =$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-\frac{4}{3}-\frac{-3}{2}$$

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

$$-\frac{4}{3}-\left(-\frac{3}{2}\right)$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$-\frac{4}{3}+\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{3}{2} to fractions with denominator 6.

$$-\frac{8}{6}+\frac{9}{6}$$

Since -\frac{8}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{-8+9}{6}$$

Add -8 and 9 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$