Solve 1.2*0.0111450249*left(40*0.3048right)^2div2791div2

$$1.2 \times 0.0111450249 \times { \left(40 \times 0.3048 \right) }^{ 2 } \div 2791 \div 2$$

Evaluate

$$\frac{48534688785267}{136279296875000000}\approx 0.000356141$$

Solution Steps

Express \frac{\frac{1.2\times 0.0111450249\times \left(40\times 0.3048\right)^{2}}{2791}}{2} as a single fraction.

$$\frac{1.2\times 0.0111450249\times \left(40\times 0.3048\right)^{2}}{2791\times 2}$$

Multiply 1.2 and 0.0111450249 to get 0.01337402988.

$$\frac{0.01337402988\times \left(40\times 0.3048\right)^{2}}{2791\times 2}$$

Multiply 40 and 0.3048 to get 12.192.

$$\frac{0.01337402988\times 12.192^{2}}{2791\times 2}$$

Calculate 12.192 to the power of 2 and get 148.644864.

$$\frac{0.01337402988\times 148.644864}{2791\times 2}$$

Multiply 0.01337402988 and 148.644864 to get 1.98798085264453632.

$$\frac{1.98798085264453632}{2791\times 2}$$

Multiply 2791 and 2 to get 5582.

$$\frac{1.98798085264453632}{5582}$$

Expand \frac{1.98798085264453632}{5582} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{198798085264453632}{558200000000000000000}$$

Reduce the fraction \frac{198798085264453632}{558200000000000000000} to lowest terms by extracting and canceling out 4096.

$$\frac{48534688785267}{136279296875000000}$$

Factor

$$\frac{3 ^ {9} \cdot 17 ^ {2} \cdot 23 ^ {2} \cdot 127 ^ {2}}{2791 \cdot 2 ^ {6} \cdot 5 ^ {17}} = 0.0003561413207890606$$