Solve 3.14*12*12*120/360-1/2*12*12

$$\frac { 3.14 \times 12 \times 12 \times 120 } { 360 } - \frac { 1 } { 2 } \times 12 \times 12$$

Evaluate

$$78.72$$

Solution Steps

Multiply 3.14 and 12 to get 37.68.

$$\frac{37.68\times 12\times 120}{360}-\frac{1}{2}\times 12\times 12$$

Multiply 37.68 and 12 to get 452.16.

$$\frac{452.16\times 120}{360}-\frac{1}{2}\times 12\times 12$$

Multiply 452.16 and 120 to get 54259.2.

$$\frac{54259.2}{360}-\frac{1}{2}\times 12\times 12$$

Expand \frac{54259.2}{360} by multiplying both numerator and the denominator by 10.

$$\frac{542592}{3600}-\frac{1}{2}\times 12\times 12$$

Reduce the fraction \frac{542592}{3600} to lowest terms by extracting and canceling out 144.

$$\frac{3768}{25}-\frac{1}{2}\times 12\times 12$$

Multiply \frac{1}{2} and 12 to get \frac{12}{2}.

$$\frac{3768}{25}-\frac{12}{2}\times 12$$

Divide 12 by 2 to get 6.

$$\frac{3768}{25}-6\times 12$$

Multiply 6 and 12 to get 72.

$$\frac{3768}{25}-72$$

Convert 72 to fraction \frac{1800}{25}.

$$\frac{3768}{25}-\frac{1800}{25}$$

Since \frac{3768}{25} and \frac{1800}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3768-1800}{25}$$

Subtract 1800 from 3768 to get 1968.

$$\frac{1968}{25}$$

Factor

$$\frac{3 \cdot 41 \cdot 2 ^ {4}}{5 ^ {2}} = 78\frac{18}{25} = 78.72$$