Solve 3000-3000*2.79%*2

$$3000-3000 \times 2.79 \% \times 2$$

Evaluate

$$2832.6$$

Solution Steps

Expand \frac{2.79}{100} by multiplying both numerator and the denominator by 100.

$$3000-3000\times \frac{279}{10000}\times 2$$

Express 3000\times \frac{279}{10000} as a single fraction.

$$3000-\frac{3000\times 279}{10000}\times 2$$

Multiply 3000 and 279 to get 837000.

$$3000-\frac{837000}{10000}\times 2$$

Reduce the fraction \frac{837000}{10000} to lowest terms by extracting and canceling out 1000.

$$3000-\frac{837}{10}\times 2$$

Express \frac{837}{10}\times 2 as a single fraction.

$$3000-\frac{837\times 2}{10}$$

Multiply 837 and 2 to get 1674.

$$3000-\frac{1674}{10}$$

Reduce the fraction \frac{1674}{10} to lowest terms by extracting and canceling out 2.

$$3000-\frac{837}{5}$$

Convert 3000 to fraction \frac{15000}{5}.

$$\frac{15000}{5}-\frac{837}{5}$$

Since \frac{15000}{5} and \frac{837}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15000-837}{5}$$

Subtract 837 from 15000 to get 14163.

$$\frac{14163}{5}$$

Factor

$$\frac{3 \cdot 4721}{5} = 2832\frac{3}{5} = 2832.6$$