Solve 6000*(1+3*2.75%)

$$6000 \times (1+3 \times 2.75 \% )$$

Evaluate

$$6495$$

Solution Steps

Expand \frac{2.75}{100} by multiplying both numerator and the denominator by 100.

$$6000\left(1+3\times \frac{275}{10000}\right)$$

Reduce the fraction \frac{275}{10000} to lowest terms by extracting and canceling out 25.

$$6000\left(1+3\times \frac{11}{400}\right)$$

Express 3\times \frac{11}{400} as a single fraction.

$$6000\left(1+\frac{3\times 11}{400}\right)$$

Multiply 3 and 11 to get 33.

$$6000\left(1+\frac{33}{400}\right)$$

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

$$6000\left(\frac{400}{400}+\frac{33}{400}\right)$$

Since \frac{400}{400} and \frac{33}{400} have the same denominator, add them by adding their numerators.

$$6000\times \frac{400+33}{400}$$

Add 400 and 33 to get 433.

$$6000\times \frac{433}{400}$$

Express 6000\times \frac{433}{400} as a single fraction.

$$\frac{6000\times 433}{400}$$

Multiply 6000 and 433 to get 2598000.

$$\frac{2598000}{400}$$

Divide 2598000 by 400 to get 6495.

$$6495$$

Factor

$$3\times 5\times 433$$