What is 0.2264 as a fraction in simplest form.

Converting the decimal number 0.2264 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 0.2264 can be broken down as:

Here, 0 is the whole number part, and 0.2264 is the decimal part.

Focus on converting the decimal part, 0.2264, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 2264/10000. To do this, find the greatest common divisor (GCD) of 2264 and 10000.

• The GCD of 2264 and 10000 is 8.

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

So, 0.2264 as a fraction is 283/1250

Now that you have 0.2264 = 0 + 0.2264, express the entire number as a mixed fraction:

Here, 0/1250 is the whole number 0, and 283/1250 is the fractional part.

Final Result: Fraction Form of 0.2264 After simplifying, we get the final fraction:

Converting 0.2264 to a fraction results in 283/1250. 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.