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

Question

Convert into a mixed fraction:

$66.322$

00:04 Let's write this as a reduced, simplified fraction.

00:09 Divide each number after the decimal by the number it stands for.

00:13 Make sure to place the correct denominator.

00:17 Don't forget to add 66, so keep that in mind.

00:32 Reduce the fraction as much as possible. Divide both the top and bottom numbers.

00:50 And that's how we find the solution to the problem!

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:

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

$66\frac{161}{500}$