What is 0.0226 as a fraction in simplest form.

Converting the decimal number 0.0226 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 0.0226 can be broken down as:

Here, 0 is the whole number part, and 0.0226 is the decimal part.

Focus on converting the decimal part, 0.0226, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 226/10000. To do this, find the greatest common divisor (GCD) of 226 and 10000.

• The GCD of 226 and 10000 is 25.

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

So, 0.0226 as a fraction is 9.04/400

Now that you have 0.0226 = 0 + 0.0226, express the entire number as a mixed fraction:

Here, 0/400 is the whole number 0, and 9.04/400 is the fractional part.

Final Result: Fraction Form of 0.0226 After simplifying, we get the final fraction:

Converting 0.0226 to a fraction results in 9.04/400. 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.