Solve 3.14*6.85^2*8.001div4

$$3.14 \times { 6.85 }^{ 2 } \times 8.001 \div 4$$

Evaluate

$$294.7101341625$$

Solution Steps

Calculate 6.85 to the power of 2 and get 46.9225.

$$\frac{3.14\times 46.9225\times 8.001}{4}$$

Multiply 3.14 and 46.9225 to get 147.33665.

$$\frac{147.33665\times 8.001}{4}$$

Multiply 147.33665 and 8.001 to get 1178.84053665.

$$\frac{1178.84053665}{4}$$

Expand \frac{1178.84053665}{4} by multiplying both numerator and the denominator by 100000000.

$$\frac{117884053665}{400000000}$$

Reduce the fraction \frac{117884053665}{400000000} to lowest terms by extracting and canceling out 5.

$$\frac{23576810733}{80000000}$$

Factor

$$\frac{7 \cdot 127 \cdot 157 \cdot 3 ^ {2} \cdot 137 ^ {2}}{2 ^ {10} \cdot 5 ^ {7}} = 294\frac{56810733}{80000000} = 294.7101341625$$