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

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

Evaluate

$$\frac{29}{6}\approx 4.833333333$$

Solution Steps

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

$$\frac{3}{3}-\frac{2}{3}-\left(-\frac{9}{2}\right)$$

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

$$\frac{3-2}{3}-\left(-\frac{9}{2}\right)$$

Subtract 2 from 3 to get 1.

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

The opposite of -\frac{9}{2} is \frac{9}{2}.

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

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, add them by adding their numerators.

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

Add 2 and 27 to get 29.

$$\frac{29}{6}$$

Factor

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$$