Solve -9/24+-5/18

$$- \frac{ 9 }{ 24 } +- \frac{ 5 }{ 18 }$$

Evaluate

$$-\frac{47}{72}\approx -0.652777778$$

Solution Steps

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{8}-\frac{5}{18}$$

Least common multiple of 8 and 18 is 72. Convert -\frac{3}{8} and \frac{5}{18} to fractions with denominator 72.

$$-\frac{27}{72}-\frac{20}{72}$$

Since -\frac{27}{72} and \frac{20}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-20}{72}$$

Subtract 20 from -27 to get -47.

$$-\frac{47}{72}$$

Factor

$$-\frac{47}{72} = -0.6527777777777778$$