Solve 5*(-2/3)+1,8

$$5 \cdot ( - \frac { 2 } { 3 } ) + 1,8$$

Evaluate

$$-\frac{23}{15}\approx -1,533333333$$

Solution Steps

Express 5\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{5\left(-2\right)}{3}+1,8$$

Multiply 5 and -2 to get -10.

$$\frac{-10}{3}+1,8$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$-\frac{10}{3}+1,8$$

Convert decimal number 1,8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{10}{3}+\frac{9}{5}$$

Least common multiple of 3 and 5 is 15. Convert -\frac{10}{3} and \frac{9}{5} to fractions with denominator 15.

$$-\frac{50}{15}+\frac{27}{15}$$

Since -\frac{50}{15} and \frac{27}{15} have the same denominator, add them by adding their numerators.

$$\frac{-50+27}{15}$$

Add -50 and 27 to get -23.

$$-\frac{23}{15}$$

Factor

$$-\frac{23}{15} = -1\frac{8}{15} = -1.5333333333333334$$