Solve 0.1div99*0.1

$$0.1 \div 99 \times 0.1$$

Evaluate

$$\frac{1}{9900}\approx 0.00010101$$

Solution Steps

Expand \frac{0.1}{99} by multiplying both numerator and the denominator by 10.

$$\frac{1}{990}\times 0.1$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{990}\times \frac{1}{10}$$

Multiply \frac{1}{990} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{990\times 10}$$

Do the multiplications in the fraction \frac{1\times 1}{990\times 10}.

$$\frac{1}{9900}$$

Factor

$$\frac{1}{11 \cdot 2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.00010101010101010101$$