Solve 0.01/2.5*0.01/2.5/frac{0.39{2.5}*0.09/2.5}

$$\frac{ \frac{ 0.01 }{ 2.5 } \times \frac{ 0.01 }{ 2.5 } }{ \frac{ 0.39 }{ 2.5 } \times \frac{ 0.09 }{ 2.5 } }$$

Evaluate

$$\frac{1}{351}\approx 0.002849003$$

Solution Steps

Multiply \frac{0.01}{2.5} and \frac{0.01}{2.5} to get \left(\frac{0.01}{2.5}\right)^{2}.

$$\frac{\left(\frac{0.01}{2.5}\right)^{2}}{\frac{0.39}{2.5}\times \frac{0.09}{2.5}}$$

Expand \frac{0.01}{2.5} by multiplying both numerator and the denominator by 100.

$$\frac{\left(\frac{1}{250}\right)^{2}}{\frac{0.39}{2.5}\times \frac{0.09}{2.5}}$$

Calculate \frac{1}{250} to the power of 2 and get \frac{1}{62500}.

$$\frac{\frac{1}{62500}}{\frac{0.39}{2.5}\times \frac{0.09}{2.5}}$$

Expand \frac{0.39}{2.5} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1}{62500}}{\frac{39}{250}\times \frac{0.09}{2.5}}$$

Expand \frac{0.09}{2.5} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1}{62500}}{\frac{39}{250}\times \frac{9}{250}}$$

Multiply \frac{39}{250} times \frac{9}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1}{62500}}{\frac{39\times 9}{250\times 250}}$$

Do the multiplications in the fraction \frac{39\times 9}{250\times 250}.

$$\frac{\frac{1}{62500}}{\frac{351}{62500}}$$

Divide \frac{1}{62500} by \frac{351}{62500} by multiplying \frac{1}{62500} by the reciprocal of \frac{351}{62500}.

$$\frac{1}{62500}\times \frac{62500}{351}$$

Multiply \frac{1}{62500} times \frac{62500}{351} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 62500}{62500\times 351}$$

Cancel out 62500 in both numerator and denominator.

$$\frac{1}{351}$$

Factor

$$\frac{1}{13 \cdot 3 ^ {3}} = 0.002849002849002849$$