Solve 12000(1+6/100*3/12)

$$12000 ( 1 + \frac { 6 } { 100 } \times \frac { 3 } { 12 } )$$

Evaluate

$$12180$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$12000\left(1+\frac{3}{50}\times \frac{3}{12}\right)$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$12000\left(1+\frac{3}{50}\times \frac{1}{4}\right)$$

Multiply \frac{3}{50} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$12000\left(1+\frac{3\times 1}{50\times 4}\right)$$

Do the multiplications in the fraction \frac{3\times 1}{50\times 4}.

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

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

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

Since \frac{200}{200} and \frac{3}{200} have the same denominator, add them by adding their numerators.

$$12000\times \frac{200+3}{200}$$

Add 200 and 3 to get 203.

$$12000\times \frac{203}{200}$$

Express 12000\times \frac{203}{200} as a single fraction.

$$\frac{12000\times 203}{200}$$

Multiply 12000 and 203 to get 2436000.

$$\frac{2436000}{200}$$

Divide 2436000 by 200 to get 12180.

$$12180$$

Factor

$$2^{2}\times 3\times 5\times 7\times 29$$