What is 0.1238 as a fraction in simplest form.

Converting the decimal number 0.1238 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 0.1238 can be broken down as:

Here, 0 is the whole number part, and 0.1238 is the decimal part.

Focus on converting the decimal part, 0.1238, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 1238/10000. To do this, find the greatest common divisor (GCD) of 1238 and 10000.

• The GCD of 1238 and 10000 is 2.

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

So, 0.1238 as a fraction is 619/5000

Now that you have 0.1238 = 0 + 0.1238, express the entire number as a mixed fraction:

Here, 0/5000 is the whole number 0, and 619/5000 is the fractional part.

Final Result: Fraction Form of 0.1238 After simplifying, we get the final fraction:

Converting 0.1238 to a fraction results in 619/5000. 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.