What is 0.2170 as a fraction in simplest form.

Converting the decimal number 0.2170 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 0.2170 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.2170 can be broken down as:

Here, 0 is the whole number part, and 0.217 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.217, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 217/1000. To do this, find the greatest common divisor (GCD) of 217 and 1000.

• The GCD of 217 and 1000 is 1.

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

So, 0.217 as a fraction is 217/1000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.2170 = 0 + 0.217, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 217/1000 is the fractional part.

Final Result Answer

Fraction Form of 0.2170 After simplifying, we get the final fraction:

Conclusion

Converting 0.2170 to a fraction results in 217/1000. 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.