Solve 2/3(6-3/2)

$$\frac{ 2 }{ 3 } (6- \frac{ 3 }{ 2 } )$$

Evaluate

$$3$$

Solution Steps

Convert 6 to fraction \frac{12}{2}.

$$\frac{2}{3}\left(\frac{12}{2}-\frac{3}{2}\right)$$

Since \frac{12}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}\times \frac{12-3}{2}$$

Subtract 3 from 12 to get 9.

$$\frac{2}{3}\times \frac{9}{2}$$

Multiply \frac{2}{3} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$