Solve 1/2(448.61*1.157^2)=

$$\frac { 1 } { 2 } ( 448.61 \cdot 1.157 ^ { 2 } ) =$$

Evaluate

$$300.265663945$$

Solution Steps

Convert decimal number 448.61 to fraction \frac{44861}{100}.

$$\frac{1}{2}\times \frac{44861}{100}\times 1.157^{2}$$

Multiply \frac{1}{2} times \frac{44861}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 44861}{2\times 100}\times 1.157^{2}$$

Do the multiplications in the fraction \frac{1\times 44861}{2\times 100}.

$$\frac{44861}{200}\times 1.157^{2}$$

Calculate 1.157 to the power of 2 and get 1.338649.

$$\frac{44861}{200}\times 1.338649$$

Convert decimal number 1.338649 to fraction \frac{1338649}{1000000}.

$$\frac{44861}{200}\times \frac{1338649}{1000000}$$

Multiply \frac{44861}{200} times \frac{1338649}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44861\times 1338649}{200\times 1000000}$$

Do the multiplications in the fraction \frac{44861\times 1338649}{200\times 1000000}.

$$\frac{60053132789}{200000000}$$

Factor

$$\frac{113 \cdot 397 \cdot 13 ^ {2} \cdot 89 ^ {2}}{2 ^ {9} \cdot 5 ^ {8}} = 300\frac{53132789}{200000000} = 300.265663945$$