Solve (18.84div3.14div2)^2*3.14*3

$$( 18.84 \div 3.14 \div 2 ) ^ { 2 } \times 3.14 \times 3$$

Evaluate

$$84.78$$

Solution Steps

Express \frac{\frac{18.84}{3.14}}{2} as a single fraction.

$$\left(\frac{18.84}{3.14\times 2}\right)^{2}\times 3.14\times 3$$

Multiply 3.14 and 2 to get 6.28.

$$\left(\frac{18.84}{6.28}\right)^{2}\times 3.14\times 3$$

Expand \frac{18.84}{6.28} by multiplying both numerator and the denominator by 100.

$$\left(\frac{1884}{628}\right)^{2}\times 3.14\times 3$$

Divide 1884 by 628 to get 3.

$$3^{2}\times 3.14\times 3$$

Calculate 3 to the power of 2 and get 9.

$$9\times 3.14\times 3$$

Multiply 9 and 3.14 to get 28.26.

$$28.26\times 3$$

Multiply 28.26 and 3 to get 84.78.

$$84.78$$

Factor

$$\frac{157 \cdot 3 ^ {3}}{2 \cdot 5 ^ {2}} = 84\frac{39}{50} = 84.78$$