What is 0.2140 as a fraction in simplest form.

Converting the decimal number 0.2140 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.

How to write 0.2140 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.2140 can be broken down as:

Here, 0 is the whole number part, and 0.214 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.214, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 214/1000. To do this, find the greatest common divisor (GCD) of 214 and 1000.

• The GCD of 214 and 1000 is 2.

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

So, 0.214 as a fraction is 107/500

Step 4: Combine the Whole Number and Fraction

Now that you have 0.2140 = 0 + 0.214, express the entire number as a mixed fraction:

Here, 0/500 is the whole number 0, and 107/500 is the fractional part.

Final Result Answer

Fraction Form of 0.2140 After simplifying, we get the final fraction:

Conclusion

Converting 0.2140 to a fraction results in 107/500. 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.