Solve (-5/6)--4/9

$$( \frac{ -5 }{ 6 } )- \frac{ -4 }{ 9 }$$

Evaluate

$$-\frac{7}{18}\approx -0.388888889$$

Solution Steps

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-\frac{5}{6}-\frac{-4}{9}$$

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\frac{5}{6}-\left(-\frac{4}{9}\right)$$

The opposite of -\frac{4}{9} is \frac{4}{9}.

$$-\frac{5}{6}+\frac{4}{9}$$

Least common multiple of 6 and 9 is 18. Convert -\frac{5}{6} and \frac{4}{9} to fractions with denominator 18.

$$-\frac{15}{18}+\frac{8}{18}$$

Since -\frac{15}{18} and \frac{8}{18} have the same denominator, add them by adding their numerators.

$$\frac{-15+8}{18}$$

Add -15 and 8 to get -7.

$$-\frac{7}{18}$$

Factor

$$-\frac{7}{18} = -0.3888888888888889$$