Solve (-4/5)-2/3

$$( \frac{ -4 }{ 5 } )- \frac{ 2 }{ 3 }$$

Evaluate

$$-\frac{22}{15}\approx -1.466666667$$

Solution Steps

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$-\frac{4}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{4}{5} and \frac{2}{3} to fractions with denominator 15.

$$-\frac{12}{15}-\frac{10}{15}$$

Since -\frac{12}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-10}{15}$$

Subtract 10 from -12 to get -22.

$$-\frac{22}{15}$$

Factor

$$-\frac{22}{15} = -1\frac{7}{15} = -1.4666666666666666$$