Solve 3*3+1/2*9.81*3^2

$$3 \times 3+ \frac{ 1 }{ 2 } \times 9.81 \times { 3 }^{ 2 }$$

Evaluate

$$53.145$$

Solution Steps

Multiply 3 and 3 to get 9.

$$9+\frac{1}{2}\times 9.81\times 3^{2}$$

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

$$9+\frac{1}{2}\times \frac{981}{100}\times 3^{2}$$

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

$$9+\frac{1\times 981}{2\times 100}\times 3^{2}$$

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

$$9+\frac{981}{200}\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$9+\frac{981}{200}\times 9$$

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

$$9+\frac{981\times 9}{200}$$

Multiply 981 and 9 to get 8829.

$$9+\frac{8829}{200}$$

Convert 9 to fraction \frac{1800}{200}.

$$\frac{1800}{200}+\frac{8829}{200}$$

Since \frac{1800}{200} and \frac{8829}{200} have the same denominator, add them by adding their numerators.

$$\frac{1800+8829}{200}$$

Add 1800 and 8829 to get 10629.

$$\frac{10629}{200}$$

Factor

$$\frac{1181 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 53\frac{29}{200} = 53.145$$