Solve 3/4(3)^2-3

$$\frac { 3 } { 4 } ( 3 ) ^ { 2 } - 3$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{3}{4}\times 9-3$$

Express \frac{3}{4}\times 9 as a single fraction.

$$\frac{3\times 9}{4}-3$$

Multiply 3 and 9 to get 27.

$$\frac{27}{4}-3$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{27}{4}-\frac{12}{4}$$

Since \frac{27}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-12}{4}$$

Subtract 12 from 27 to get 15.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$