What is 0.1024 as a fraction in simplest form.

Converting the decimal number 0.1024 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 0.1024 can be broken down as:

Here, 0 is the whole number part, and 0.1024 is the decimal part.

Focus on converting the decimal part, 0.1024, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 1024/10000. To do this, find the greatest common divisor (GCD) of 1024 and 10000.

• The GCD of 1024 and 10000 is 16.

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

So, 0.1024 as a fraction is 64/625

Now that you have 0.1024 = 0 + 0.1024, express the entire number as a mixed fraction:

Here, 0/625 is the whole number 0, and 64/625 is the fractional part.

Final Result: Fraction Form of 0.1024 After simplifying, we get the final fraction:

Converting 0.1024 to a fraction results in 64/625. 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.