Solve 4div(6!/2!4!)

$$4 \div ( \frac{ 6 ! }{ 2 ! 4 ! } )$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Divide 4 by \frac{6!}{2!\times 4!} by multiplying 4 by the reciprocal of \frac{6!}{2!\times 4!}.

$$\frac{4\times 2!\times 4!}{6!}$$

The factorial of 2 is 2.

$$\frac{4\times 2\times 4!}{6!}$$

Multiply 4 and 2 to get 8.

$$\frac{8\times 4!}{6!}$$

The factorial of 4 is 24.

$$\frac{8\times 24}{6!}$$

Multiply 8 and 24 to get 192.

$$\frac{192}{6!}$$

The factorial of 6 is 720.

$$\frac{192}{720}$$

Reduce the fraction \frac{192}{720} to lowest terms by extracting and canceling out 48.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$