Solve 12000(1+1,5/100*4/12)

$$12000 ( 1 + \frac { 1,5 } { 100 } \times \frac { 4 } { 12 } )$$

Evaluate

$$12060$$

Solution Steps

Expand \frac{1,5}{100} by multiplying both numerator and the denominator by 10.

$$12000\left(1+\frac{15}{1000}\times \frac{4}{12}\right)$$

Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$12000\left(1+\frac{3}{200}\times \frac{4}{12}\right)$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$12000\left(1+\frac{3}{200}\times \frac{1}{3}\right)$$

Multiply \frac{3}{200} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$12000\left(1+\frac{3\times 1}{200\times 3}\right)$$

Cancel out 3 in both numerator and denominator.

$$12000\left(1+\frac{1}{200}\right)$$

Convert 1 to fraction \frac{200}{200}.

$$12000\left(\frac{200}{200}+\frac{1}{200}\right)$$

Since \frac{200}{200} and \frac{1}{200} have the same denominator, add them by adding their numerators.

$$12000\times \frac{200+1}{200}$$

Add 200 and 1 to get 201.

$$12000\times \frac{201}{200}$$

Express 12000\times \frac{201}{200} as a single fraction.

$$\frac{12000\times 201}{200}$$

Multiply 12000 and 201 to get 2412000.

$$\frac{2412000}{200}$$

Divide 2412000 by 200 to get 12060.

$$12060$$

Factor

$$5\times 67\times 2^{2}\times 3^{2}$$