Solve 3*1/2-1/2*frac{1{2}+1}

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

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

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

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

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

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

Subtract 2 from 3 to get 1.

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

Cancel out 2 and 2.

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

Add 1 and 1 to get 2.

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

Express \frac{\frac{1}{2}}{2} as a single fraction.

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

Multiply 2 and 2 to get 4.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$