Solve 300(1+5/100*5)

$$300 ( 1 + \frac { 5 } { 100 } \times 5 )$$

Evaluate

$$375$$

Solution Steps

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

$$300\left(1+\frac{1}{20}\times 5\right)$$

Multiply \frac{1}{20} and 5 to get \frac{5}{20}.

$$300\left(1+\frac{5}{20}\right)$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$300\left(1+\frac{1}{4}\right)$$

Convert 1 to fraction \frac{4}{4}.

$$300\left(\frac{4}{4}+\frac{1}{4}\right)$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$300\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$300\times \frac{5}{4}$$

Express 300\times \frac{5}{4} as a single fraction.

$$\frac{300\times 5}{4}$$

Multiply 300 and 5 to get 1500.

$$\frac{1500}{4}$$

Divide 1500 by 4 to get 375.

$$375$$

Factor

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