What is 0.0209 as a fraction in simplest form.

Converting the decimal number 0.0209 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

The decimal 0.0209 can be broken down as:

Here, 0 is the whole number part, and 0.0209 is the decimal part.

Focus on converting the decimal part, 0.0209, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 209/10000. To do this, find the greatest common divisor (GCD) of 209 and 10000.

• The GCD of 209 and 10000 is 16.

Now, divide both the numerator and the denominator by their GCD:

So, 0.0209 as a fraction is 13.0625/625

Now that you have 0.0209 = 0 + 0.0209, express the entire number as a mixed fraction:

Here, 0/625 is the whole number 0, and 13.0625/625 is the fractional part.

Final Result: Fraction Form of 0.0209 After simplifying, we get the final fraction:

Converting 0.0209 to a fraction results in 13.0625/625. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.