Solve 314*left(942div314div2right)^2*1/3*12*750=

$$314 \times { \left(942 \div 314 \div 2 \right) }^{ 2 } \times \frac{ 1 }{ 3 } \times 12 \times 750=$$

Evaluate

$$2119500$$

Solution Steps

Express \frac{\frac{942}{314}}{2} as a single fraction.

$$314\times \left(\frac{942}{314\times 2}\right)^{2}\times \frac{1}{3}\times 12\times 750$$

Multiply 314 and 2 to get 628.

$$314\times \left(\frac{942}{628}\right)^{2}\times \frac{1}{3}\times 12\times 750$$

Reduce the fraction \frac{942}{628} to lowest terms by extracting and canceling out 314.

$$314\times \left(\frac{3}{2}\right)^{2}\times \frac{1}{3}\times 12\times 750$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$314\times \frac{9}{4}\times \frac{1}{3}\times 12\times 750$$

Multiply 314 and \frac{9}{4} to get \frac{1413}{2}.

$$\frac{1413}{2}\times \frac{1}{3}\times 12\times 750$$

Multiply \frac{1413}{2} and \frac{1}{3} to get \frac{471}{2}.

$$\frac{471}{2}\times 12\times 750$$

Multiply \frac{471}{2} and 12 to get 2826.

$$2826\times 750$$

Multiply 2826 and 750 to get 2119500.

$$2119500$$

Factor

$$2^{2}\times 3^{3}\times 5^{3}\times 157$$