Solve 39*38*37*36*35*34*4/52*51*50*49*48*47

$$\frac{ 39 \times 38 \times 37 \times 36 \times 35 \times 34 \times 4 }{ 52 \times 51 \times 50 \times 49 \times 48 \times 47 }$$

Evaluate

$$\frac{2109}{3290}\approx 0.641033435$$

Solution Steps

Cancel out 2\times 2\times 2\times 2\times 3\times 3\times 4\times 5\times 7\times 13\times 17 in both numerator and denominator.

$$\frac{3\times 19\times 37}{2\times 5\times 7\times 47}$$

Multiply 3 and 19 to get 57.

$$\frac{57\times 37}{2\times 5\times 7\times 47}$$

Multiply 57 and 37 to get 2109.

$$\frac{2109}{2\times 5\times 7\times 47}$$

Multiply 2 and 5 to get 10.

$$\frac{2109}{10\times 7\times 47}$$

Multiply 10 and 7 to get 70.

$$\frac{2109}{70\times 47}$$

Multiply 70 and 47 to get 3290.

$$\frac{2109}{3290}$$

Factor

$$\frac{3 \cdot 19 \cdot 37}{2 \cdot 5 \cdot 7 \cdot 47} = 0.6410334346504559$$