Solve 45*9-1/2*9.81*9

$$45 \times 9 - \frac { 1 } { 2 } \cdot 9.81 \cdot 9$$

Evaluate

$$360.855$$

Solution Steps

Multiply 45 and 9 to get 405.

$$405-\frac{1}{2}\times 9.81\times 9$$

Convert decimal number 9.81 to fraction \frac{981}{100}.

$$405-\frac{1}{2}\times \frac{981}{100}\times 9$$

Multiply \frac{1}{2} times \frac{981}{100} by multiplying numerator times numerator and denominator times denominator.

$$405-\frac{1\times 981}{2\times 100}\times 9$$

Do the multiplications in the fraction \frac{1\times 981}{2\times 100}.

$$405-\frac{981}{200}\times 9$$

Express \frac{981}{200}\times 9 as a single fraction.

$$405-\frac{981\times 9}{200}$$

Multiply 981 and 9 to get 8829.

$$405-\frac{8829}{200}$$

Convert 405 to fraction \frac{81000}{200}.

$$\frac{81000}{200}-\frac{8829}{200}$$

Since \frac{81000}{200} and \frac{8829}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81000-8829}{200}$$

Subtract 8829 from 81000 to get 72171.

$$\frac{72171}{200}$$

Factor

$$\frac{11 \cdot 3 ^ {8}}{2 ^ {3} \cdot 5 ^ {2}} = 360\frac{171}{200} = 360.855$$