Convert 36.105 to a Simplified Decimal 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 105 by 1000 and 36, as follows:

$36+\frac{105}{1000}$

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 5:

$36+\frac{105:4}{1000:4}=36+\frac{21}{200}=36\frac{21}{200}$