Solve 1.8*10^3/1.732*220*0.80*0.81

$$\frac{ 1.8 \times { 10 }^{ 3 } }{ 1.732 \times 220 \times 0.80 \times 0.81 }$$

Evaluate

$$\frac{312500}{42867}\approx 7.289989969$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{1.8\times 1000}{1.732\times 220\times 0.8\times 0.81}$$

Multiply 1.8 and 1000 to get 1800.

$$\frac{1800}{1.732\times 220\times 0.8\times 0.81}$$

Multiply 1.732 and 220 to get 381.04.

$$\frac{1800}{381.04\times 0.8\times 0.81}$$

Multiply 381.04 and 0.8 to get 304.832.

$$\frac{1800}{304.832\times 0.81}$$

Multiply 304.832 and 0.81 to get 246.91392.

$$\frac{1800}{246.91392}$$

Expand \frac{1800}{246.91392} by multiplying both numerator and the denominator by 100000.

$$\frac{180000000}{24691392}$$

Reduce the fraction \frac{180000000}{24691392} to lowest terms by extracting and canceling out 576.

$$\frac{312500}{42867}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {7}}{11 \cdot 433 \cdot 3 ^ {2}} = 7\frac{12431}{42867} = 7.289989968973803$$