Solve 4/52*3/52*2/52*1/52

$$\frac{ 4 }{ 52 } \times \frac{ 3 }{ 52 } \times \frac{ 2 }{ 52 } \times \frac{ 1 }{ 52 }$$

Evaluate

$$\frac{3}{913952}\approx 0.000003282$$

Solution Steps

Reduce the fraction \frac{4}{52} to lowest terms by extracting and canceling out 4.

$$\frac{1}{13}\times \frac{3}{52}\times \frac{2}{52}\times \frac{1}{52}$$

Multiply \frac{1}{13} times \frac{3}{52} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{13\times 52}\times \frac{2}{52}\times \frac{1}{52}$$

Do the multiplications in the fraction \frac{1\times 3}{13\times 52}.

$$\frac{3}{676}\times \frac{2}{52}\times \frac{1}{52}$$

Reduce the fraction \frac{2}{52} to lowest terms by extracting and canceling out 2.

$$\frac{3}{676}\times \frac{1}{26}\times \frac{1}{52}$$

Multiply \frac{3}{676} times \frac{1}{26} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{676\times 26}\times \frac{1}{52}$$

Do the multiplications in the fraction \frac{3\times 1}{676\times 26}.

$$\frac{3}{17576}\times \frac{1}{52}$$

Multiply \frac{3}{17576} times \frac{1}{52} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{17576\times 52}$$

Do the multiplications in the fraction \frac{3\times 1}{17576\times 52}.

$$\frac{3}{913952}$$

Factor

$$\frac{3}{2 ^ {5} \cdot 13 ^ {4}} = 3.282448093554147 \times 10^{-6}$$