What is 0.2540 as a fraction in simplest form.

Converting the decimal number 0.2540 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 0.2540 can be broken down as:

Here, 0 is the whole number part, and 0.254 is the decimal part.

Focus on converting the decimal part, 0.254, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 254/1000. To do this, find the greatest common divisor (GCD) of 254 and 1000.

• The GCD of 254 and 1000 is 2.

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

So, 0.254 as a fraction is 127/500

Now that you have 0.2540 = 0 + 0.254, express the entire number as a mixed fraction:

Here, 0/500 is the whole number 0, and 127/500 is the fractional part.

Final Result: Fraction Form of 0.2540 After simplifying, we get the final fraction:

Converting 0.2540 to a fraction results in 127/500. 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.