What is 0.2075 as a fraction in simplest form.

Converting the decimal number 0.2075 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 0.2075 can be broken down as:

Here, 0 is the whole number part, and 0.2075 is the decimal part.

Focus on converting the decimal part, 0.2075, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 2075/10000. To do this, find the greatest common divisor (GCD) of 2075 and 10000.

• The GCD of 2075 and 10000 is 25.

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

So, 0.2075 as a fraction is 83/400

Now that you have 0.2075 = 0 + 0.2075, express the entire number as a mixed fraction:

Here, 0/400 is the whole number 0, and 83/400 is the fractional part.

Final Result: Fraction Form of 0.2075 After simplifying, we get the final fraction:

Converting 0.2075 to a fraction results in 83/400. 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.