Solve 4000*(1+5%)*(1*6%)

$$4000 \times (1+5 \% ) \times (1 \times 6 \% )$$

Evaluate

$$252$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$4000\left(1+\frac{1}{20}\right)\times 1\times \frac{6}{100}$$

Convert 1 to fraction \frac{20}{20}.

$$4000\left(\frac{20}{20}+\frac{1}{20}\right)\times 1\times \frac{6}{100}$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$4000\times \frac{20+1}{20}\times 1\times \frac{6}{100}$$

Add 20 and 1 to get 21.

$$4000\times \frac{21}{20}\times 1\times \frac{6}{100}$$

Express 4000\times \frac{21}{20} as a single fraction.

$$\frac{4000\times 21}{20}\times 1\times \frac{6}{100}$$

Multiply 4000 and 21 to get 84000.

$$\frac{84000}{20}\times 1\times \frac{6}{100}$$

Divide 84000 by 20 to get 4200.

$$4200\times 1\times \frac{6}{100}$$

Multiply 4200 and 1 to get 4200.

$$4200\times \frac{6}{100}$$

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

$$4200\times \frac{3}{50}$$

Express 4200\times \frac{3}{50} as a single fraction.

$$\frac{4200\times 3}{50}$$

Multiply 4200 and 3 to get 12600.

$$\frac{12600}{50}$$

Divide 12600 by 50 to get 252.

$$252$$

Factor

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