Solve 2-1/2+2^3

$$2- \frac{ 1 }{ 2 } + { 2 }^{ 3 }$$

Evaluate

$$\frac{19}{2}=9.5$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

$$\frac{4}{2}-\frac{1}{2}+2^{3}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{2}+2^{3}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{2}+2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{3}{2}+8$$

Convert 8 to fraction \frac{16}{2}.

$$\frac{3}{2}+\frac{16}{2}$$

Since \frac{3}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+16}{2}$$

Add 3 and 16 to get 19.

$$\frac{19}{2}$$

Factor

$$\frac{19}{2} = 9\frac{1}{2} = 9.5$$