What is 0.0584 as a fraction in simplest form.

Converting the decimal number 0.0584 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 0.0584 can be broken down as:

Here, 0 is the whole number part, and 0.0584 is the decimal part.

Focus on converting the decimal part, 0.0584, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 584/10000. To do this, find the greatest common divisor (GCD) of 584 and 10000.

• The GCD of 584 and 10000 is 8.

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

So, 0.0584 as a fraction is 73/1250

Now that you have 0.0584 = 0 + 0.0584, express the entire number as a mixed fraction:

Here, 0/1250 is the whole number 0, and 73/1250 is the fractional part.

Final Result: Fraction Form of 0.0584 After simplifying, we get the final fraction:

Converting 0.0584 to a fraction results in 73/1250. 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.