Solve 1/40*125/8div625/4

$$\frac{ 1 }{ 40 } \times \frac{ 125 }{ 8 } \div \frac{ 625 }{ 4 }$$

Evaluate

$$\frac{1}{400}=0.0025$$

Solution Steps

Multiply \frac{1}{40} times \frac{125}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 125}{40\times 8}}{\frac{625}{4}}$$

Do the multiplications in the fraction \frac{1\times 125}{40\times 8}.

$$\frac{\frac{125}{320}}{\frac{625}{4}}$$

Reduce the fraction \frac{125}{320} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{25}{64}}{\frac{625}{4}}$$

Divide \frac{25}{64} by \frac{625}{4} by multiplying \frac{25}{64} by the reciprocal of \frac{625}{4}.

$$\frac{25}{64}\times \frac{4}{625}$$

Multiply \frac{25}{64} times \frac{4}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 4}{64\times 625}$$

Do the multiplications in the fraction \frac{25\times 4}{64\times 625}.

$$\frac{100}{40000}$$

Reduce the fraction \frac{100}{40000} to lowest terms by extracting and canceling out 100.

$$\frac{1}{400}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 5 ^ {2}} = 0.0025$$