What is 0.1990 as a fraction in simplest form.

Converting the decimal number 0.1990 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 0.1990 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.1990 can be broken down as:

Here, 0 is the whole number part, and 0.199 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.199, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 199/1000. To do this, find the greatest common divisor (GCD) of 199 and 1000.

• The GCD of 199 and 1000 is 1.

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

So, 0.199 as a fraction is 199/1000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.1990 = 0 + 0.199, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 199/1000 is the fractional part.

Final Result Answer

Fraction Form of 0.1990 After simplifying, we get the final fraction:

Conclusion

Converting 0.1990 to a fraction results in 199/1000. 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.