What is 0.2304 as a fraction in simplest form.

Converting the decimal number 0.2304 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 0.2304 can be broken down as:

Here, 0 is the whole number part, and 0.2304 is the decimal part.

Focus on converting the decimal part, 0.2304, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 2304/10000. To do this, find the greatest common divisor (GCD) of 2304 and 10000.

• The GCD of 2304 and 10000 is 16.

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

So, 0.2304 as a fraction is 144/625

Now that you have 0.2304 = 0 + 0.2304, express the entire number as a mixed fraction:

Here, 0/625 is the whole number 0, and 144/625 is the fractional part.

Final Result: Fraction Form of 0.2304 After simplifying, we get the final fraction:

Converting 0.2304 to a fraction results in 144/625. 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.