Solve left(9div3.14div2right)^2*3.14*4

$${ \left(9 \div 3.14 \div 2 \right) }^{ 2 } \times 3.14 \times 4$$

Evaluate

$$\frac{4050}{157}\approx 25.796178344$$

Solution Steps

Express \frac{\frac{9}{3.14}}{2} as a single fraction.

$$\left(\frac{9}{3.14\times 2}\right)^{2}\times 3.14\times 4$$

Multiply 3.14 and 2 to get 6.28.

$$\left(\frac{9}{6.28}\right)^{2}\times 3.14\times 4$$

Expand \frac{9}{6.28} by multiplying both numerator and the denominator by 100.

$$\left(\frac{900}{628}\right)^{2}\times 3.14\times 4$$

Reduce the fraction \frac{900}{628} to lowest terms by extracting and canceling out 4.

$$\left(\frac{225}{157}\right)^{2}\times 3.14\times 4$$

Calculate \frac{225}{157} to the power of 2 and get \frac{50625}{24649}.

$$\frac{50625}{24649}\times 3.14\times 4$$

Multiply \frac{50625}{24649} and 3.14 to get \frac{2025}{314}.

$$\frac{2025}{314}\times 4$$

Multiply \frac{2025}{314} and 4 to get \frac{4050}{157}.

$$\frac{4050}{157}$$

Factor

$$\frac{2 \cdot 3 ^ {4} \cdot 5 ^ {2}}{157} = 25\frac{125}{157} = 25.796178343949045$$