Convert Decimal 66.322 to Simplified Fraction: Step-by-Step Solution

Let's write the decimal fraction as a mixed fraction.

Since there are 3 digits after the decimal point, we'll divide 322 by 1000 and 66, as follows:

$66+\frac{322}{1000}$

Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 2:

$66+\frac{322:2}{1000:2}=36+\frac{161}{500}=66\frac{161}{500}$