Solve 900*1*3*4*19*29*49*99/20*2*4*5*25*50*100=

$$\frac { 900 \cdot 1 \cdot 3 \cdot 4 \cdot 19 \cdot 29 \cdot 49 \cdot 99 } { 20 \cdot 2 \cdot 4 \cdot 5 \cdot 25 \cdot 50 \cdot 100 } =$$

Evaluate

$$\frac{72168327}{250000}=288.673308$$

Solution Steps

Cancel out 2\times 2\times 5\times 20 in both numerator and denominator.

$$\frac{3\times 9\times 19\times 29\times 49\times 99}{2\times 25\times 50\times 100}$$

Multiply 3 and 9 to get 27.

$$\frac{27\times 19\times 29\times 49\times 99}{2\times 25\times 50\times 100}$$

Multiply 27 and 19 to get 513.

$$\frac{513\times 29\times 49\times 99}{2\times 25\times 50\times 100}$$

Multiply 513 and 29 to get 14877.

$$\frac{14877\times 49\times 99}{2\times 25\times 50\times 100}$$

Multiply 14877 and 49 to get 728973.

$$\frac{728973\times 99}{2\times 25\times 50\times 100}$$

Multiply 728973 and 99 to get 72168327.

$$\frac{72168327}{2\times 25\times 50\times 100}$$

Multiply 2 and 25 to get 50.

$$\frac{72168327}{50\times 50\times 100}$$

Multiply 50 and 50 to get 2500.

$$\frac{72168327}{2500\times 100}$$

Multiply 2500 and 100 to get 250000.

$$\frac{72168327}{250000}$$

Factor

$$\frac{3 ^ {5} \cdot 7 ^ {2} \cdot 11 \cdot 19 \cdot 29}{2 ^ {4} \cdot 5 ^ {6}} = 288\frac{168327}{250000} = 288.673308$$