What is 0.0475 as a fraction in simplest form.

Converting the decimal number 0.0475 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 0.0475 can be broken down as:

Here, 0 is the whole number part, and 0.0475 is the decimal part.

Focus on converting the decimal part, 0.0475, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 475/10000. To do this, find the greatest common divisor (GCD) of 475 and 10000.

• The GCD of 475 and 10000 is 25.

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

So, 0.0475 as a fraction is 19/400

Now that you have 0.0475 = 0 + 0.0475, express the entire number as a mixed fraction:

Here, 0/400 is the whole number 0, and 19/400 is the fractional part.

Final Result: Fraction Form of 0.0475 After simplifying, we get the final fraction:

Converting 0.0475 to a fraction results in 19/400. 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.