Solve lfloor3-2(1-1/2)rfloor1/2

$$\lfloor 3-2(1- \frac{ 1 }{ 2 } ) \rfloor \frac{ 1 }{ 2 }$$

Evaluate

$$1$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\lfloor 3-2\left(\frac{2}{2}-\frac{1}{2}\right)\rfloor \times \frac{1}{2}$$

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

$$\lfloor 3-2\times \frac{2-1}{2}\rfloor \times \frac{1}{2}$$

Subtract 1 from 2 to get 1.

$$\lfloor 3-2\times \frac{1}{2}\rfloor \times \frac{1}{2}$$

Cancel out 2 and 2.

$$\lfloor 3-1\rfloor \times \frac{1}{2}$$

Subtract 1 from 3 to get 2.

$$\lfloor 2\rfloor \times \frac{1}{2}$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 2 is 2.

$$2\times \frac{1}{2}$$

Cancel out 2 and 2.

$$1$$

Factor

$$1$$