Solve 1/2[a/b-3]

$$\frac { 1 } { 2 } [ \frac { a } { b } - 3 ]$$

Evaluate

$$\frac{a}{2b}-\frac{3}{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{b}{b}.

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

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

$$\frac{1}{2}\times \frac{a-3b}{b}$$

Multiply \frac{1}{2} times \frac{a-3b}{b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{a-3b}{2b}$$

Expand

$$\frac{a}{2b}-\frac{3}{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{b}{b}.

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

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

$$\frac{1}{2}\times \frac{a-3b}{b}$$

Multiply \frac{1}{2} times \frac{a-3b}{b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{a-3b}{2b}$$