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

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

Evaluate

$$12030$$

Solution Steps

Multiply \frac{3}{100} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{100\times 12}.

$$12000\left(1+\frac{3}{1200}\right)$$

Reduce the fraction \frac{3}{1200} to lowest terms by extracting and canceling out 3.

$$12000\left(1+\frac{1}{400}\right)$$

Convert 1 to fraction \frac{400}{400}.

$$12000\left(\frac{400}{400}+\frac{1}{400}\right)$$

Since \frac{400}{400} and \frac{1}{400} have the same denominator, add them by adding their numerators.

$$12000\times \frac{400+1}{400}$$

Add 400 and 1 to get 401.

$$12000\times \frac{401}{400}$$

Express 12000\times \frac{401}{400} as a single fraction.

$$\frac{12000\times 401}{400}$$

Multiply 12000 and 401 to get 4812000.

$$\frac{4812000}{400}$$

Divide 4812000 by 400 to get 12030.

$$12030$$

Factor

$$2\times 3\times 5\times 401$$