What is 0.2080 as a fraction in simplest form.

Converting the decimal number 0.2080 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 0.2080 can be broken down as:

Here, 0 is the whole number part, and 0.208 is the decimal part.

Focus on converting the decimal part, 0.208, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 208/1000. To do this, find the greatest common divisor (GCD) of 208 and 1000.

• The GCD of 208 and 1000 is 8.

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

So, 0.208 as a fraction is 26/125

Now that you have 0.2080 = 0 + 0.208, express the entire number as a mixed fraction:

Here, 0/125 is the whole number 0, and 26/125 is the fractional part.

Final Result: Fraction Form of 0.2080 After simplifying, we get the final fraction:

Converting 0.2080 to a fraction results in 26/125. 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.