What is 0.2246 as a fraction in simplest form.

Converting the decimal number 0.2246 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 0.2246 can be broken down as:

Here, 0 is the whole number part, and 0.2246 is the decimal part.

Focus on converting the decimal part, 0.2246, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 2246/10000. To do this, find the greatest common divisor (GCD) of 2246 and 10000.

• The GCD of 2246 and 10000 is 2.

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

So, 0.2246 as a fraction is 1123/5000

Now that you have 0.2246 = 0 + 0.2246, express the entire number as a mixed fraction:

Here, 0/5000 is the whole number 0, and 1123/5000 is the fractional part.

Final Result: Fraction Form of 0.2246 After simplifying, we get the final fraction:

Converting 0.2246 to a fraction results in 1123/5000. 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.