Solve (3*4.5^2)div2-4*4.5

$$(3 \times { 4.5 }^{ 2 } ) \div 2-4 \times 4.5$$

Evaluate

$$12.375$$

Solution Steps

Calculate 4.5 to the power of 2 and get 20.25.

$$\frac{3\times 20.25}{2}-4\times 4.5$$

Multiply 3 and 20.25 to get 60.75.

$$\frac{60.75}{2}-4\times 4.5$$

Expand \frac{60.75}{2} by multiplying both numerator and the denominator by 100.

$$\frac{6075}{200}-4\times 4.5$$

Reduce the fraction \frac{6075}{200} to lowest terms by extracting and canceling out 25.

$$\frac{243}{8}-4\times 4.5$$

Multiply 4 and 4.5 to get 18.

$$\frac{243}{8}-18$$

Convert 18 to fraction \frac{144}{8}.

$$\frac{243}{8}-\frac{144}{8}$$

Since \frac{243}{8} and \frac{144}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{243-144}{8}$$

Subtract 144 from 243 to get 99.

$$\frac{99}{8}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{2 ^ {3}} = 12\frac{3}{8} = 12.375$$