What is 0.2130 as a fraction in simplest form.

Converting the decimal number 0.2130 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 0.2130 can be broken down as:

Here, 0 is the whole number part, and 0.213 is the decimal part.

Focus on converting the decimal part, 0.213, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 213/1000. To do this, find the greatest common divisor (GCD) of 213 and 1000.

• The GCD of 213 and 1000 is 1.

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

So, 0.213 as a fraction is 213/1000

Now that you have 0.2130 = 0 + 0.213, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 213/1000 is the fractional part.

Final Result: Fraction Form of 0.2130 After simplifying, we get the final fraction:

Converting 0.2130 to a fraction results in 213/1000. 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.