Solve 9!9!+1/9!-1

$$9 ! \frac { 9 ! + 1 } { 9 ! - 1 }$$

Evaluate

$$\frac{131682257280}{362879}\approx 362882.000005511$$

Solution Steps

The factorial of 9 is 362880.

$$362880\times \frac{9!+1}{9!-1}$$

The factorial of 9 is 362880.

$$362880\times \frac{362880+1}{9!-1}$$

Add 362880 and 1 to get 362881.

$$362880\times \frac{362881}{9!-1}$$

The factorial of 9 is 362880.

$$362880\times \frac{362881}{362880-1}$$

Subtract 1 from 362880 to get 362879.

$$362880\times \frac{362881}{362879}$$

Express 362880\times \frac{362881}{362879} as a single fraction.

$$\frac{362880\times 362881}{362879}$$

Multiply 362880 and 362881 to get 131682257280.

$$\frac{131682257280}{362879}$$

Factor

$$\frac{2 ^ {7} \cdot 3 ^ {4} \cdot 5 \cdot 7 \cdot 19 \cdot 71 \cdot 269}{11 ^ {2} \cdot 2999} = 362882\frac{2}{362879} = 362882.00000551145$$