What is 0.0285 as a fraction in simplest form.

Converting the decimal number 0.0285 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 0.0285 can be broken down as:

Here, 0 is the whole number part, and 0.0285 is the decimal part.

Focus on converting the decimal part, 0.0285, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 285/10000. To do this, find the greatest common divisor (GCD) of 285 and 10000.

• The GCD of 285 and 10000 is 5.

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

So, 0.0285 as a fraction is 57/2000

Now that you have 0.0285 = 0 + 0.0285, express the entire number as a mixed fraction:

Here, 0/2000 is the whole number 0, and 57/2000 is the fractional part.

Final Result: Fraction Form of 0.0285 After simplifying, we get the final fraction:

Converting 0.0285 to a fraction results in 57/2000. 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.