Solve 180/left(1-0.01*16right)left(1-0.051right)

$$\frac{ 180 }{ \left( 1-0.01 \cdot 16 \right) \left( 1-0.051 \right) }$$

Evaluate

$$\frac{1500000}{6643}\approx 225.801595665$$

Solution Steps

Multiply 0.01 and 16 to get 0.16.

$$\frac{180}{\left(1-0.16\right)\left(1-0.051\right)}$$

Subtract 0.16 from 1 to get 0.84.

$$\frac{180}{0.84\left(1-0.051\right)}$$

Subtract 0.051 from 1 to get 0.949.

$$\frac{180}{0.84\times 0.949}$$

Multiply 0.84 and 0.949 to get 0.79716.

$$\frac{180}{0.79716}$$

Expand \frac{180}{0.79716} by multiplying both numerator and the denominator by 100000.

$$\frac{18000000}{79716}$$

Reduce the fraction \frac{18000000}{79716} to lowest terms by extracting and canceling out 12.

$$\frac{1500000}{6643}$$

Factor

$$\frac{3 \cdot 2 ^ {5} \cdot 5 ^ {6}}{7 \cdot 13 \cdot 73} = 225\frac{5325}{6643} = 225.80159566460935$$