Solve =5000(1+5/100*2)

$$= 5000 ( 1 + \frac { 5 } { 100 } \times 2 )$$

Evaluate

$$5500$$

Solution Steps

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

$$5000\left(1+\frac{1}{20}\times 2\right)$$

Multiply \frac{1}{20} and 2 to get \frac{2}{20}.

$$5000\left(1+\frac{2}{20}\right)$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$5000\left(1+\frac{1}{10}\right)$$

Convert 1 to fraction \frac{10}{10}.

$$5000\left(\frac{10}{10}+\frac{1}{10}\right)$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$5000\times \frac{10+1}{10}$$

Add 10 and 1 to get 11.

$$5000\times \frac{11}{10}$$

Express 5000\times \frac{11}{10} as a single fraction.

$$\frac{5000\times 11}{10}$$

Multiply 5000 and 11 to get 55000.

$$\frac{55000}{10}$$

Divide 55000 by 10 to get 5500.

$$5500$$

Factor

$$2^{2}\times 5^{3}\times 11$$