Solve 314*9*12+314*(9div2)^2=

$$314 \times 9 \times 12 + 314 \times ( 9 \div 2 ) ^ { 2 } =$$

Evaluate

$$\frac{80541}{2}=40270.5$$

Solution Steps

Multiply 314 and 9 to get 2826.

$$2826\times 12+314\times \left(\frac{9}{2}\right)^{2}$$

Multiply 2826 and 12 to get 33912.

$$33912+314\times \left(\frac{9}{2}\right)^{2}$$

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

$$33912+314\times \frac{81}{4}$$

Express 314\times \frac{81}{4} as a single fraction.

$$33912+\frac{314\times 81}{4}$$

Multiply 314 and 81 to get 25434.

$$33912+\frac{25434}{4}$$

Reduce the fraction \frac{25434}{4} to lowest terms by extracting and canceling out 2.

$$33912+\frac{12717}{2}$$

Convert 33912 to fraction \frac{67824}{2}.

$$\frac{67824}{2}+\frac{12717}{2}$$

Since \frac{67824}{2} and \frac{12717}{2} have the same denominator, add them by adding their numerators.

$$\frac{67824+12717}{2}$$

Add 67824 and 12717 to get 80541.

$$\frac{80541}{2}$$

Factor

$$\frac{3 ^ {3} \cdot 19 \cdot 157}{2} = 40270\frac{1}{2} = 40270.5$$