Solve 1/8!+1/9!=0

$$\frac { 1 } { 8 ! } + \frac { 1 } { 9 ! } = 0$$

Verify

Solution Steps

The factorial of 8 is 40320.

$$\frac{1}{40320}+\frac{1}{9!}=0$$

The factorial of 9 is 362880.

$$\frac{1}{40320}+\frac{1}{362880}=0$$

Least common multiple of 40320 and 362880 is 362880. Convert \frac{1}{40320} and \frac{1}{362880} to fractions with denominator 362880.

$$\frac{9}{362880}+\frac{1}{362880}=0$$

Since \frac{9}{362880} and \frac{1}{362880} have the same denominator, add them by adding their numerators.

$$\frac{9+1}{362880}=0$$

Add 9 and 1 to get 10.

$$\frac{10}{362880}=0$$

Reduce the fraction \frac{10}{362880} to lowest terms by extracting and canceling out 10.

$$\frac{1}{36288}=0$$

Compare \frac{1}{36288} and 0.

$$\text{false}$$