Solve 5.75%*12-5.25%*3/9

$$\frac{ 5.75 \% \times 12-5.25 \% \times 3 }{ 9 }$$

Evaluate

$$\frac{71}{1200}\approx 0.059166667$$

Solution Steps

Expand \frac{5.75}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{575}{10000}\times 12-\frac{5.25}{100}\times 3}{9}$$

Reduce the fraction \frac{575}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{23}{400}\times 12-\frac{5.25}{100}\times 3}{9}$$

Express \frac{23}{400}\times 12 as a single fraction.

$$\frac{\frac{23\times 12}{400}-\frac{5.25}{100}\times 3}{9}$$

Multiply 23 and 12 to get 276.

$$\frac{\frac{276}{400}-\frac{5.25}{100}\times 3}{9}$$

Reduce the fraction \frac{276}{400} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{69}{100}-\frac{5.25}{100}\times 3}{9}$$

Expand \frac{5.25}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{69}{100}-\frac{525}{10000}\times 3}{9}$$

Reduce the fraction \frac{525}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{69}{100}-\frac{21}{400}\times 3}{9}$$

Express \frac{21}{400}\times 3 as a single fraction.

$$\frac{\frac{69}{100}-\frac{21\times 3}{400}}{9}$$

Multiply 21 and 3 to get 63.

$$\frac{\frac{69}{100}-\frac{63}{400}}{9}$$

Least common multiple of 100 and 400 is 400. Convert \frac{69}{100} and \frac{63}{400} to fractions with denominator 400.

$$\frac{\frac{276}{400}-\frac{63}{400}}{9}$$

Since \frac{276}{400} and \frac{63}{400} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{276-63}{400}}{9}$$

Subtract 63 from 276 to get 213.

$$\frac{\frac{213}{400}}{9}$$

Express \frac{\frac{213}{400}}{9} as a single fraction.

$$\frac{213}{400\times 9}$$

Multiply 400 and 9 to get 3600.

$$\frac{213}{3600}$$

Reduce the fraction \frac{213}{3600} to lowest terms by extracting and canceling out 3.

$$\frac{71}{1200}$$

Factor

$$\frac{71}{3 \cdot 2 ^ {4} \cdot 5 ^ {2}} = 0.059166666666666666$$