Solve 9000(12%-8%)/9000+4000+8%=

$$\frac{ 9000(12 \% -8 \% ) }{ 9000+4000 } +8 \% =$$

Evaluate

$$\frac{7}{65}\approx 0.107692308$$

Solution Steps

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

$$\frac{9000\left(\frac{3}{25}-\frac{8}{100}\right)}{9000+4000}+\frac{8}{100}$$

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

$$\frac{9000\left(\frac{3}{25}-\frac{2}{25}\right)}{9000+4000}+\frac{8}{100}$$

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

$$\frac{9000\times \frac{3-2}{25}}{9000+4000}+\frac{8}{100}$$

Subtract 2 from 3 to get 1.

$$\frac{9000\times \frac{1}{25}}{9000+4000}+\frac{8}{100}$$

Multiply 9000 and \frac{1}{25} to get \frac{9000}{25}.

$$\frac{\frac{9000}{25}}{9000+4000}+\frac{8}{100}$$

Divide 9000 by 25 to get 360.

$$\frac{360}{9000+4000}+\frac{8}{100}$$

Add 9000 and 4000 to get 13000.

$$\frac{360}{13000}+\frac{8}{100}$$

Reduce the fraction \frac{360}{13000} to lowest terms by extracting and canceling out 40.

$$\frac{9}{325}+\frac{8}{100}$$

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

$$\frac{9}{325}+\frac{2}{25}$$

Least common multiple of 325 and 25 is 325. Convert \frac{9}{325} and \frac{2}{25} to fractions with denominator 325.

$$\frac{9}{325}+\frac{26}{325}$$

Since \frac{9}{325} and \frac{26}{325} have the same denominator, add them by adding their numerators.

$$\frac{9+26}{325}$$

Add 9 and 26 to get 35.

$$\frac{35}{325}$$

Reduce the fraction \frac{35}{325} to lowest terms by extracting and canceling out 5.

$$\frac{7}{65}$$

Factor

$$\frac{7}{5 \cdot 13} = 0.1076923076923077$$