Solve 300*(1+1.5%)

$$300 \times (1+1.5 \% )$$

Evaluate

$$304.5$$

Solution Steps

Expand \frac{1.5}{100} by multiplying both numerator and the denominator by 10.

$$300\left(1+\frac{15}{1000}\right)$$

Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$300\left(1+\frac{3}{200}\right)$$

Convert 1 to fraction \frac{200}{200}.

$$300\left(\frac{200}{200}+\frac{3}{200}\right)$$

Since \frac{200}{200} and \frac{3}{200} have the same denominator, add them by adding their numerators.

$$300\times \frac{200+3}{200}$$

Add 200 and 3 to get 203.

$$300\times \frac{203}{200}$$

Express 300\times \frac{203}{200} as a single fraction.

$$\frac{300\times 203}{200}$$

Multiply 300 and 203 to get 60900.

$$\frac{60900}{200}$$

Reduce the fraction \frac{60900}{200} to lowest terms by extracting and canceling out 100.

$$\frac{609}{2}$$

Factor

$$\frac{3 \cdot 7 \cdot 29}{2} = 304\frac{1}{2} = 304.5$$