Solve 1500*(172%-6.67%)

$$1500 \times ( 172 \% - 6.67 \% )$$

Evaluate

$$2479.95$$

Solution Steps

Reduce the fraction \frac{172}{100} to lowest terms by extracting and canceling out 4.

$$1500\left(\frac{43}{25}-\frac{6.67}{100}\right)$$

Expand \frac{6.67}{100} by multiplying both numerator and the denominator by 100.

$$1500\left(\frac{43}{25}-\frac{667}{10000}\right)$$

Least common multiple of 25 and 10000 is 10000. Convert \frac{43}{25} and \frac{667}{10000} to fractions with denominator 10000.

$$1500\left(\frac{17200}{10000}-\frac{667}{10000}\right)$$

Since \frac{17200}{10000} and \frac{667}{10000} have the same denominator, subtract them by subtracting their numerators.

$$1500\times \frac{17200-667}{10000}$$

Subtract 667 from 17200 to get 16533.

$$1500\times \frac{16533}{10000}$$

Express 1500\times \frac{16533}{10000} as a single fraction.

$$\frac{1500\times 16533}{10000}$$

Multiply 1500 and 16533 to get 24799500.

$$\frac{24799500}{10000}$$

Reduce the fraction \frac{24799500}{10000} to lowest terms by extracting and canceling out 500.

$$\frac{49599}{20}$$

Factor

$$\frac{11 \cdot 167 \cdot 3 ^ {3}}{5 \cdot 2 ^ {2}} = 2479\frac{19}{20} = 2479.95$$