What is 0.1256 as a fraction in simplest form.

Converting the decimal number 0.1256 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 0.1256 can be broken down as:

Here, 0 is the whole number part, and 0.1256 is the decimal part.

Focus on converting the decimal part, 0.1256, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 1256/10000. To do this, find the greatest common divisor (GCD) of 1256 and 10000.

• The GCD of 1256 and 10000 is 8.

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

So, 0.1256 as a fraction is 157/1250

Now that you have 0.1256 = 0 + 0.1256, express the entire number as a mixed fraction:

Here, 0/1250 is the whole number 0, and 157/1250 is the fractional part.

Final Result: Fraction Form of 0.1256 After simplifying, we get the final fraction:

Converting 0.1256 to a fraction results in 157/1250. 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.