Solve 2000*10.7*(1+0.3%)=

$$2000 \times 10.7 \times ( 1 + 0.3 \% ) =$$

Evaluate

$$21464.2$$

Solution Steps

Multiply 2000 and 10.7 to get 21400.

$$21400\left(1+\frac{0.3}{100}\right)$$

Expand \frac{0.3}{100} by multiplying both numerator and the denominator by 10.

$$21400\left(1+\frac{3}{1000}\right)$$

Convert 1 to fraction \frac{1000}{1000}.

$$21400\left(\frac{1000}{1000}+\frac{3}{1000}\right)$$

Since \frac{1000}{1000} and \frac{3}{1000} have the same denominator, add them by adding their numerators.

$$21400\times \frac{1000+3}{1000}$$

Add 1000 and 3 to get 1003.

$$21400\times \frac{1003}{1000}$$

Express 21400\times \frac{1003}{1000} as a single fraction.

$$\frac{21400\times 1003}{1000}$$

Multiply 21400 and 1003 to get 21464200.

$$\frac{21464200}{1000}$$

Reduce the fraction \frac{21464200}{1000} to lowest terms by extracting and canceling out 200.

$$\frac{107321}{5}$$

Factor

$$\frac{17 \cdot 59 \cdot 107}{5} = 21464\frac{1}{5} = 21464.2$$