Solve 22187.3-10*100.4*21/106054-10*(100.4)^2

$$\frac { 22187.3 - 10 \cdot 100.4 \cdot 21 } { 106054 - 10 \cdot ( 100.4 ) ^ { 2 } }$$

Evaluate

$$\frac{11033}{52524}\approx 0.210056355$$

Solution Steps

Multiply 10 and 100.4 to get 1004.

$$\frac{22187.3-1004\times 21}{106054-10\times 100.4^{2}}$$

Multiply 1004 and 21 to get 21084.

$$\frac{22187.3-21084}{106054-10\times 100.4^{2}}$$

Subtract 21084 from 22187.3 to get 1103.3.

$$\frac{1103.3}{106054-10\times 100.4^{2}}$$

Calculate 100.4 to the power of 2 and get 10080.16.

$$\frac{1103.3}{106054-10\times 10080.16}$$

Multiply 10 and 10080.16 to get 100801.6.

$$\frac{1103.3}{106054-100801.6}$$

Subtract 100801.6 from 106054 to get 5252.4.

$$\frac{1103.3}{5252.4}$$

Expand \frac{1103.3}{5252.4} by multiplying both numerator and the denominator by 10.

$$\frac{11033}{52524}$$

Factor

$$\frac{11 \cdot 17 \cdot 59}{1459 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.21005635519000837$$