Solve 101.381+100.140-2*100.7/(0.003)^2*100.785

$$\frac { 101.381 + 100.140 - 2 \times 100.7 } { ( 0.003 ) ^ { 2 } \times 100.785 }$$

Evaluate

$$\frac{24200000}{181413}\approx 133.397275829$$

Solution Steps

Add 101.381 and 100.14 to get 201.521.

$$\frac{201.521-2\times 100.7}{0.003^{2}\times 100.785}$$

Multiply 2 and 100.7 to get 201.4.

$$\frac{201.521-201.4}{0.003^{2}\times 100.785}$$

Subtract 201.4 from 201.521 to get 0.121.

$$\frac{0.121}{0.003^{2}\times 100.785}$$

Calculate 0.003 to the power of 2 and get 0.000009.

$$\frac{0.121}{0.000009\times 100.785}$$

Multiply 0.000009 and 100.785 to get 0.000907065.

$$\frac{0.121}{0.000907065}$$

Expand \frac{0.121}{0.000907065} by multiplying both numerator and the denominator by 1000000000.

$$\frac{121000000}{907065}$$

Reduce the fraction \frac{121000000}{907065} to lowest terms by extracting and canceling out 5.

$$\frac{24200000}{181413}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {5} \cdot 11 ^ {2}}{6719 \cdot 3 ^ {3}} = 133\frac{72071}{181413} = 133.39727582918533$$