What is 0.1280 as a fraction in simplest form.

Converting the decimal number 0.1280 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 0.1280 can be broken down as:

Here, 0 is the whole number part, and 0.128 is the decimal part.

Focus on converting the decimal part, 0.128, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 128/1000. To do this, find the greatest common divisor (GCD) of 128 and 1000.

• The GCD of 128 and 1000 is 8.

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

So, 0.128 as a fraction is 16/125

Now that you have 0.1280 = 0 + 0.128, express the entire number as a mixed fraction:

Here, 0/125 is the whole number 0, and 16/125 is the fractional part.

Final Result: Fraction Form of 0.1280 After simplifying, we get the final fraction:

Converting 0.1280 to a fraction results in 16/125. 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.