Solve -4/9+-5/6

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

Evaluate

$$-\frac{23}{18}\approx -1.277777778$$

Solution Steps

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

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

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

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

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

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

Subtract 15 from -8 to get -23.

$$-\frac{23}{18}$$

Factor

$$-\frac{23}{18} = -1\frac{5}{18} = -1.2777777777777777$$