Solve 5000*(1-1.35%)

$$5000 \times (1-1.35 \% )$$

Evaluate

$$4932.5$$

Solution Steps

Expand \frac{1.35}{100} by multiplying both numerator and the denominator by 100.

$$5000\left(1-\frac{135}{10000}\right)$$

Reduce the fraction \frac{135}{10000} to lowest terms by extracting and canceling out 5.

$$5000\left(1-\frac{27}{2000}\right)$$

Convert 1 to fraction \frac{2000}{2000}.

$$5000\left(\frac{2000}{2000}-\frac{27}{2000}\right)$$

Since \frac{2000}{2000} and \frac{27}{2000} have the same denominator, subtract them by subtracting their numerators.

$$5000\times \frac{2000-27}{2000}$$

Subtract 27 from 2000 to get 1973.

$$5000\times \frac{1973}{2000}$$

Express 5000\times \frac{1973}{2000} as a single fraction.

$$\frac{5000\times 1973}{2000}$$

Multiply 5000 and 1973 to get 9865000.

$$\frac{9865000}{2000}$$

Reduce the fraction \frac{9865000}{2000} to lowest terms by extracting and canceling out 1000.

$$\frac{9865}{2}$$

Factor

$$\frac{5 \cdot 1973}{2} = 4932\frac{1}{2} = 4932.5$$