Solve 3/4[(3-1/2)*2]*3

$$\frac { 3 } { 4 } [ ( 3 - \frac { 1 } { 2 } ) \cdot 2 ] \cdot 3$$

Evaluate

$$\frac{45}{4}=11.25$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{3}{4}\left(\frac{6}{2}-\frac{1}{2}\right)\times 2\times 3$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}\times \frac{6-1}{2}\times 2\times 3$$

Subtract 1 from 6 to get 5.

$$\frac{3}{4}\times \frac{5}{2}\times 2\times 3$$

Multiply \frac{3}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 2}\times 2\times 3$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 2}.

$$\frac{15}{8}\times 2\times 3$$

Express \frac{15}{8}\times 2 as a single fraction.

$$\frac{15\times 2}{8}\times 3$$

Multiply 15 and 2 to get 30.

$$\frac{30}{8}\times 3$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}\times 3$$

Express \frac{15}{4}\times 3 as a single fraction.

$$\frac{15\times 3}{4}$$

Multiply 15 and 3 to get 45.

$$\frac{45}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$