Solve 1/4*1/frac{25*8{4}}

$$\frac{ 1 }{ 4 } \times \frac{ 1 }{ \frac{ 25 \times 8 }{ 4 } }$$

Evaluate

$$\frac{1}{200}=0.005$$

Solution Steps

Divide 1 by \frac{25\times 8}{4} by multiplying 1 by the reciprocal of \frac{25\times 8}{4}.

$$\frac{1}{4}\times \frac{4}{25\times 8}$$

Multiply 25 and 8 to get 200.

$$\frac{1}{4}\times \frac{4}{200}$$

Reduce the fraction \frac{4}{200} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}\times \frac{1}{50}$$

Multiply \frac{1}{4} times \frac{1}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{4\times 50}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 50}.

$$\frac{1}{200}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {2}} = 0.005$$