Solve 3*-3/2+4*2/3

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

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Express 3\left(-\frac{3}{2}\right) as a single fraction.

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

Multiply 3 and -3 to get -9.

$$\frac{-9}{2}+4\times \frac{2}{3}$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$-\frac{9}{2}+4\times \frac{2}{3}$$

Express 4\times \frac{2}{3} as a single fraction.

$$-\frac{9}{2}+\frac{4\times 2}{3}$$

Multiply 4 and 2 to get 8.

$$-\frac{9}{2}+\frac{8}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{9}{2} and \frac{8}{3} to fractions with denominator 6.

$$-\frac{27}{6}+\frac{16}{6}$$

Since -\frac{27}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{-27+16}{6}$$

Add -27 and 16 to get -11.

$$-\frac{11}{6}$$

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$