Solve 300*299*298*297*0.051053*0.01*0.01*0.01*0.01div1div2div3div4

$$300 \times 299 \times 298 \times 297 \times 0.051053 \times 0.01 \times 0.01 \times 0.01 \times 0.01 \div 1 \div 2 \div 3 \div 4$$

Evaluate

$$0.16887881857275$$

Solution Steps

Express \frac{\frac{\frac{\frac{300\times 299\times 298\times 297\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{1}}{2}}{3}}{4} as a single fraction.

$$\frac{\frac{\frac{300\times 299\times 298\times 297\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{1}}{2}}{3\times 4}$$

Express \frac{\frac{300\times 299\times 298\times 297\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{1}}{2} as a single fraction.

$$\frac{\frac{300\times 299\times 298\times 297\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 300 and 299 to get 89700.

$$\frac{\frac{89700\times 298\times 297\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 89700 and 298 to get 26730600.

$$\frac{\frac{26730600\times 297\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 26730600 and 297 to get 7938988200.

$$\frac{\frac{7938988200\times 0.051053\times 0.01\times 0.01\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 7938988200 and 0.051053 to get 405309164.5746.

$$\frac{\frac{405309164.5746\times 0.01\times 0.01\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 405309164.5746 and 0.01 to get 4053091.645746.

$$\frac{\frac{4053091.645746\times 0.01\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 4053091.645746 and 0.01 to get 40530.91645746.

$$\frac{\frac{40530.91645746\times 0.01\times 0.01}{2}}{3\times 4}$$

Multiply 40530.91645746 and 0.01 to get 405.3091645746.

$$\frac{\frac{405.3091645746\times 0.01}{2}}{3\times 4}$$

Multiply 405.3091645746 and 0.01 to get 4.053091645746.

$$\frac{\frac{4.053091645746}{2}}{3\times 4}$$

Expand \frac{4.053091645746}{2} by multiplying both numerator and the denominator by 1000000000000.

$$\frac{\frac{4053091645746}{2000000000000}}{3\times 4}$$

Reduce the fraction \frac{4053091645746}{2000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2026545822873}{1000000000000}}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{2026545822873}{1000000000000}}{12}$$

Express \frac{\frac{2026545822873}{1000000000000}}{12} as a single fraction.

$$\frac{2026545822873}{1000000000000\times 12}$$

Multiply 1000000000000 and 12 to get 12000000000000.

$$\frac{2026545822873}{12000000000000}$$

Reduce the fraction \frac{2026545822873}{12000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{675515274291}{4000000000000}$$

Factor

$$\frac{11 \cdot 13 \cdot 19 \cdot 23 \cdot 149 \cdot 2687 \cdot 3 ^ {3}}{2 ^ {14} \cdot 5 ^ {12}} = 0.16887881857275$$