Solve 15!3!/16!=

$$\frac { 15 ! 3 ! } { 16 ! } =$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000\times 3!}{16!}$$

The factorial of 3 is 6.

$$\frac{1307674368000\times 6}{16!}$$

Multiply 1307674368000 and 6 to get 7846046208000.

$$\frac{7846046208000}{16!}$$

The factorial of 16 is 20922789888000.

$$\frac{7846046208000}{20922789888000}$$

Reduce the fraction \frac{7846046208000}{20922789888000} to lowest terms by extracting and canceling out 2615348736000.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$