Solve 500(1+.21/12)

$$500(1+ \frac{ .21 }{ 12 } )$$

Evaluate

$$508.75$$

Solution Steps

Expand \frac{0.21}{12} by multiplying both numerator and the denominator by 100.

$$500\left(1+\frac{21}{1200}\right)$$

Reduce the fraction \frac{21}{1200} to lowest terms by extracting and canceling out 3.

$$500\left(1+\frac{7}{400}\right)$$

Convert 1 to fraction \frac{400}{400}.

$$500\left(\frac{400}{400}+\frac{7}{400}\right)$$

Since \frac{400}{400} and \frac{7}{400} have the same denominator, add them by adding their numerators.

$$500\times \frac{400+7}{400}$$

Add 400 and 7 to get 407.

$$500\times \frac{407}{400}$$

Express 500\times \frac{407}{400} as a single fraction.

$$\frac{500\times 407}{400}$$

Multiply 500 and 407 to get 203500.

$$\frac{203500}{400}$$

Reduce the fraction \frac{203500}{400} to lowest terms by extracting and canceling out 100.

$$\frac{2035}{4}$$

Factor

$$\frac{5 \cdot 11 \cdot 37}{2 ^ {2}} = 508\frac{3}{4} = 508.75$$