Solve 3.14*left(9.42div3.14div2right)^2*1/3*1.2*750=

$$3.14 \times { \left(9.42 \div 3.14 \div 2 \right) }^{ 2 } \times \frac{ 1 }{ 3 } \times 1.2 \times 750=$$

Evaluate

$$2119.5$$

Solution Steps

Express \frac{\frac{9.42}{3.14}}{2} as a single fraction.

$$3.14\times \left(\frac{9.42}{3.14\times 2}\right)^{2}\times \frac{1}{3}\times 1.2\times 750$$

Multiply 3.14 and 2 to get 6.28.

$$3.14\times \left(\frac{9.42}{6.28}\right)^{2}\times \frac{1}{3}\times 1.2\times 750$$

Expand \frac{9.42}{6.28} by multiplying both numerator and the denominator by 100.

$$3.14\times \left(\frac{942}{628}\right)^{2}\times \frac{1}{3}\times 1.2\times 750$$

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

$$3.14\times \left(\frac{3}{2}\right)^{2}\times \frac{1}{3}\times 1.2\times 750$$

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

$$3.14\times \frac{9}{4}\times \frac{1}{3}\times 1.2\times 750$$

Multiply 3.14 and \frac{9}{4} to get \frac{1413}{200}.

$$\frac{1413}{200}\times \frac{1}{3}\times 1.2\times 750$$

Multiply \frac{1413}{200} and \frac{1}{3} to get \frac{471}{200}.

$$\frac{471}{200}\times 1.2\times 750$$

Multiply \frac{471}{200} and 1.2 to get \frac{1413}{500}.

$$\frac{1413}{500}\times 750$$

Multiply \frac{1413}{500} and 750 to get \frac{4239}{2}.

$$\frac{4239}{2}$$

Factor

$$\frac{157 \cdot 3 ^ {3}}{2} = 2119\frac{1}{2} = 2119.5$$