Solve 1/2*4.5^2

$$\frac { 1 } { 2 } \times 4.5 ^ { 2 }$$

Evaluate

$$10.125$$

Solution Steps

Calculate 4.5 to the power of 2 and get 20.25.

$$\frac{1}{2}\times 20.25$$

Convert decimal number 20.25 to fraction \frac{2025}{100}. Reduce the fraction \frac{2025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{2}\times \frac{81}{4}$$

Multiply \frac{1}{2} times \frac{81}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 81}{2\times 4}$$

Do the multiplications in the fraction \frac{1\times 81}{2\times 4}.

$$\frac{81}{8}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {3}} = 10\frac{1}{8} = 10.125$$