What is 0.1660 as a fraction in simplest form.

Converting the decimal number 0.1660 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 0.1660 can be broken down as:

Here, 0 is the whole number part, and 0.166 is the decimal part.

Focus on converting the decimal part, 0.166, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 166/1000. To do this, find the greatest common divisor (GCD) of 166 and 1000.

• The GCD of 166 and 1000 is 2.

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

So, 0.166 as a fraction is 83/500

Now that you have 0.1660 = 0 + 0.166, express the entire number as a mixed fraction:

Here, 0/500 is the whole number 0, and 83/500 is the fractional part.

Final Result: Fraction Form of 0.1660 After simplifying, we get the final fraction:

Converting 0.1660 to a fraction results in 83/500. 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.