Solve left(9div2right)^2*3.14+9*3.14*12

$${ \left(9 \div 2 \right) }^{ 2 } \times 3.14+9 \times 3.14 \times 12$$

Evaluate

$$402.705$$

Solution Steps

Calculate \frac{9}{2} to the power of 2 and get \frac{81}{4}.

$$\frac{81}{4}\times 3.14+9\times 3.14\times 12$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{81}{4}\times \frac{157}{50}+9\times 3.14\times 12$$

Multiply \frac{81}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{81\times 157}{4\times 50}+9\times 3.14\times 12$$

Do the multiplications in the fraction \frac{81\times 157}{4\times 50}.

$$\frac{12717}{200}+9\times 3.14\times 12$$

Multiply 9 and 3.14 to get 28.26.

$$\frac{12717}{200}+28.26\times 12$$

Multiply 28.26 and 12 to get 339.12.

$$\frac{12717}{200}+339.12$$

Convert decimal number 339.12 to fraction \frac{33912}{100}. Reduce the fraction \frac{33912}{100} to lowest terms by extracting and canceling out 4.

$$\frac{12717}{200}+\frac{8478}{25}$$

Least common multiple of 200 and 25 is 200. Convert \frac{12717}{200} and \frac{8478}{25} to fractions with denominator 200.

$$\frac{12717}{200}+\frac{67824}{200}$$

Since \frac{12717}{200} and \frac{67824}{200} have the same denominator, add them by adding their numerators.

$$\frac{12717+67824}{200}$$

Add 12717 and 67824 to get 80541.

$$\frac{80541}{200}$$

Factor

$$\frac{19 \cdot 157 \cdot 3 ^ {3}}{2 ^ {3} \cdot 5 ^ {2}} = 402\frac{141}{200} = 402.705$$