Solve 3.14*9*12+3.14*(9div2)^2=

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

Evaluate

$$402.705$$

Solution Steps

Multiply 3.14 and 9 to get 28.26.

$$28.26\times 12+3.14\times \left(\frac{9}{2}\right)^{2}$$

Multiply 28.26 and 12 to get 339.12.

$$339.12+3.14\times \left(\frac{9}{2}\right)^{2}$$

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

$$339.12+3.14\times \frac{81}{4}$$

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.

$$339.12+\frac{157}{50}\times \frac{81}{4}$$

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

$$339.12+\frac{157\times 81}{50\times 4}$$

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

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

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.

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

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

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

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

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

Add 67824 and 12717 to get 80541.

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

Factor

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