Solve 5*6*7*8*9-1*2*3*4*5/5*6*7*8*9

$$\frac { 5 \times 6 \times 7 \times 8 \times 9 - 1 \times 2 \times 3 \times 4 \times 5 } { 5 \times 6 \times 7 \times 8 \times 9 }$$

Evaluate

$$\frac{125}{126}\approx 0.992063492$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30\times 7\times 8\times 9-1\times 2\times 3\times 4\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 30 and 7 to get 210.

$$\frac{210\times 8\times 9-1\times 2\times 3\times 4\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 210 and 8 to get 1680.

$$\frac{1680\times 9-1\times 2\times 3\times 4\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 1680 and 9 to get 15120.

$$\frac{15120-1\times 2\times 3\times 4\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 1 and 2 to get 2.

$$\frac{15120-2\times 3\times 4\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 2 and 3 to get 6.

$$\frac{15120-6\times 4\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 6 and 4 to get 24.

$$\frac{15120-24\times 5}{5\times 6\times 7\times 8\times 9}$$

Multiply 24 and 5 to get 120.

$$\frac{15120-120}{5\times 6\times 7\times 8\times 9}$$

Subtract 120 from 15120 to get 15000.

$$\frac{15000}{5\times 6\times 7\times 8\times 9}$$

Multiply 5 and 6 to get 30.

$$\frac{15000}{30\times 7\times 8\times 9}$$

Multiply 30 and 7 to get 210.

$$\frac{15000}{210\times 8\times 9}$$

Multiply 210 and 8 to get 1680.

$$\frac{15000}{1680\times 9}$$

Multiply 1680 and 9 to get 15120.

$$\frac{15000}{15120}$$

Reduce the fraction \frac{15000}{15120} to lowest terms by extracting and canceling out 120.

$$\frac{125}{126}$$

Factor

$$\frac{5 ^ {3}}{2 \cdot 3 ^ {2} \cdot 7} = 0.9920634920634921$$