Solve 5000(1+2%)

$$5000 ( 1 + 2 \% )$$

Evaluate

$$5100$$

Solution Steps

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

$$5000\left(1+\frac{1}{50}\right)$$

Convert 1 to fraction \frac{50}{50}.

$$5000\left(\frac{50}{50}+\frac{1}{50}\right)$$

Since \frac{50}{50} and \frac{1}{50} have the same denominator, add them by adding their numerators.

$$5000\times \frac{50+1}{50}$$

Add 50 and 1 to get 51.

$$5000\times \frac{51}{50}$$

Express 5000\times \frac{51}{50} as a single fraction.

$$\frac{5000\times 51}{50}$$

Multiply 5000 and 51 to get 255000.

$$\frac{255000}{50}$$

Divide 255000 by 50 to get 5100.

$$5100$$

Factor

$$2^{2}\times 3\times 5^{2}\times 17$$