Solve 1+(-2/3)-(9/2)

$$1+(- \frac{ 2 }{ 3 } )-( \frac{ 9 }{ 2 } )$$

Evaluate

$$-\frac{25}{6}\approx -4.166666667$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{3}{3}-\frac{2}{3}-\frac{9}{2}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{3}-\frac{9}{2}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{3}-\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{9}{2} to fractions with denominator 6.

$$\frac{2}{6}-\frac{27}{6}$$

Since \frac{2}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-27}{6}$$

Subtract 27 from 2 to get -25.

$$-\frac{25}{6}$$

Factor

$$-\frac{25}{6} = -4\frac{1}{6} = -4.166666666666667$$