Solve 0.095/0.25*3.14*0.105*0.105

$$\frac{ 0.095 }{ 0.25 \times 3.14 \times 0.105 \times 0.105 }$$

Evaluate

$$\frac{760000}{69237}\approx 10.976789867$$

Solution Steps

Multiply 0.25 and 3.14 to get 0.785.

$$\frac{0.095}{0.785\times 0.105\times 0.105}$$

Multiply 0.785 and 0.105 to get 0.082425.

$$\frac{0.095}{0.082425\times 0.105}$$

Multiply 0.082425 and 0.105 to get 0.008654625.

$$\frac{0.095}{0.008654625}$$

Expand \frac{0.095}{0.008654625} by multiplying both numerator and the denominator by 1000000000.

$$\frac{95000000}{8654625}$$

Reduce the fraction \frac{95000000}{8654625} to lowest terms by extracting and canceling out 125.

$$\frac{760000}{69237}$$

Factor

$$\frac{19 \cdot 2 ^ {6} \cdot 5 ^ {4}}{157 \cdot 3 ^ {2} \cdot 7 ^ {2}} = 10\frac{67630}{69237} = 10.976789866689776$$