Solve 8%+12%/92%+88%=

$$\frac{ 8 \% +12 \% }{ 92 \% +88 \% } =$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2}{25}+\frac{12}{100}}{\frac{92}{100}+\frac{88}{100}}$$

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2}{25}+\frac{3}{25}}{\frac{92}{100}+\frac{88}{100}}$$

Since \frac{2}{25} and \frac{3}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+3}{25}}{\frac{92}{100}+\frac{88}{100}}$$

Add 2 and 3 to get 5.

$$\frac{\frac{5}{25}}{\frac{92}{100}+\frac{88}{100}}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{5}}{\frac{92}{100}+\frac{88}{100}}$$

Reduce the fraction \frac{92}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1}{5}}{\frac{23}{25}+\frac{88}{100}}$$

Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1}{5}}{\frac{23}{25}+\frac{22}{25}}$$

Since \frac{23}{25} and \frac{22}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1}{5}}{\frac{23+22}{25}}$$

Add 23 and 22 to get 45.

$$\frac{\frac{1}{5}}{\frac{45}{25}}$$

Reduce the fraction \frac{45}{25} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{5}}{\frac{9}{5}}$$

Divide \frac{1}{5} by \frac{9}{5} by multiplying \frac{1}{5} by the reciprocal of \frac{9}{5}.

$$\frac{1}{5}\times \frac{5}{9}$$

Multiply \frac{1}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{5\times 9}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$