Solve 5%/1+5%

$$\frac{ 5 \% }{ 1+5 \% }$$

Evaluate

$$\frac{1}{21}\approx 0.047619048$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{20}}{1+\frac{5}{100}}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{20}}{1+\frac{1}{20}}$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{\frac{1}{20}}{\frac{20}{20}+\frac{1}{20}}$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1}{20}}{\frac{20+1}{20}}$$

Add 20 and 1 to get 21.

$$\frac{\frac{1}{20}}{\frac{21}{20}}$$

Divide \frac{1}{20} by \frac{21}{20} by multiplying \frac{1}{20} by the reciprocal of \frac{21}{20}.

$$\frac{1}{20}\times \frac{20}{21}$$

Multiply \frac{1}{20} times \frac{20}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 20}{20\times 21}$$

Cancel out 20 in both numerator and denominator.

$$\frac{1}{21}$$

Factor

$$\frac{1}{3 \cdot 7} = 0.047619047619047616$$