Solve 100*2%/10*98%

$$\frac { 100 \times 2 \% } { 10 \times 98 \% }$$

Evaluate

$$\frac{10}{49}\approx 0.204081633$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{100\times \frac{1}{50}}{10\times \frac{98}{100}}$$

Multiply 100 and \frac{1}{50} to get \frac{100}{50}.

$$\frac{\frac{100}{50}}{10\times \frac{98}{100}}$$

Divide 100 by 50 to get 2.

$$\frac{2}{10\times \frac{98}{100}}$$

Reduce the fraction \frac{98}{100} to lowest terms by extracting and canceling out 2.

$$\frac{2}{10\times \frac{49}{50}}$$

Express 10\times \frac{49}{50} as a single fraction.

$$\frac{2}{\frac{10\times 49}{50}}$$

Multiply 10 and 49 to get 490.

$$\frac{2}{\frac{490}{50}}$$

Reduce the fraction \frac{490}{50} to lowest terms by extracting and canceling out 10.

$$\frac{2}{\frac{49}{5}}$$

Divide 2 by \frac{49}{5} by multiplying 2 by the reciprocal of \frac{49}{5}.

$$2\times \frac{5}{49}$$

Express 2\times \frac{5}{49} as a single fraction.

$$\frac{2\times 5}{49}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{49}$$

Factor

$$\frac{2 \cdot 5}{7 ^ {2}} = 0.20408163265306123$$