Solve 2000*(1-0,10*120/365)

$$2000 \times ( 1 - 0,10 \times \frac { 120 } { 365 } )$$

Evaluate

$$\frac{141200}{73}\approx 1934,246575342$$

Solution Steps

Reduce the fraction \frac{120}{365} to lowest terms by extracting and canceling out 5.

$$2000\left(1-0,1\times \frac{24}{73}\right)$$

Convert decimal number 0,1 to fraction \frac{1}{10}.

$$2000\left(1-\frac{1}{10}\times \frac{24}{73}\right)$$

Multiply \frac{1}{10} times \frac{24}{73} by multiplying numerator times numerator and denominator times denominator.

$$2000\left(1-\frac{1\times 24}{10\times 73}\right)$$

Do the multiplications in the fraction \frac{1\times 24}{10\times 73}.

$$2000\left(1-\frac{24}{730}\right)$$

Reduce the fraction \frac{24}{730} to lowest terms by extracting and canceling out 2.

$$2000\left(1-\frac{12}{365}\right)$$

Convert 1 to fraction \frac{365}{365}.

$$2000\left(\frac{365}{365}-\frac{12}{365}\right)$$

Since \frac{365}{365} and \frac{12}{365} have the same denominator, subtract them by subtracting their numerators.

$$2000\times \frac{365-12}{365}$$

Subtract 12 from 365 to get 353.

$$2000\times \frac{353}{365}$$

Express 2000\times \frac{353}{365} as a single fraction.

$$\frac{2000\times 353}{365}$$

Multiply 2000 and 353 to get 706000.

$$\frac{706000}{365}$$

Reduce the fraction \frac{706000}{365} to lowest terms by extracting and canceling out 5.

$$\frac{141200}{73}$$

Factor

$$\frac{353 \cdot 2 ^ {4} \cdot 5 ^ {2}}{73} = 1934\frac{18}{73} = 1934.2465753424658$$