Solve 99*0.01/0.01*99+2*99.99

$$\frac { 99 \times 0.01 } { 0.01 \times 99 + 2 \times 99.99 }$$

Evaluate

$$\frac{1}{203}\approx 0.004926108$$

Solution Steps

Multiply 99 and 0.01 to get 0.99.

$$\frac{0.99}{0.01\times 99+2\times 99.99}$$

Multiply 0.01 and 99 to get 0.99.

$$\frac{0.99}{0.99+2\times 99.99}$$

Multiply 2 and 99.99 to get 199.98.

$$\frac{0.99}{0.99+199.98}$$

Add 0.99 and 199.98 to get 200.97.

$$\frac{0.99}{200.97}$$

Expand \frac{0.99}{200.97} by multiplying both numerator and the denominator by 100.

$$\frac{99}{20097}$$

Reduce the fraction \frac{99}{20097} to lowest terms by extracting and canceling out 99.

$$\frac{1}{203}$$

Factor

$$\frac{1}{7 \cdot 29} = 0.0049261083743842365$$