Solve 3/2*3/2-3*3/2

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

Evaluate

$$-\frac{9}{4}=-2.25$$

Solution Steps

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

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

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

$$\frac{9}{4}-3\times \frac{3}{2}$$

Express 3\times \frac{3}{2} as a single fraction.

$$\frac{9}{4}-\frac{3\times 3}{2}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{4}-\frac{9}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{9}{4}-\frac{18}{4}$$

Since \frac{9}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-18}{4}$$

Subtract 18 from 9 to get -9.

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

Factor

$$-\frac{9}{4} = -2\frac{1}{4} = -2.25$$