What is 0.3900 as a fraction in simplest form.

Converting the decimal number 0.3900 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 0.3900 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.3900 can be broken down as:

Here, 0 is the whole number part, and 0.39 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.39, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 39/100. To do this, find the greatest common divisor (GCD) of 39 and 100.

• The GCD of 39 and 100 is 1.

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

So, 0.39 as a fraction is 39/100

Step 4: Combine the Whole Number and Fraction

Now that you have 0.3900 = 0 + 0.39, express the entire number as a mixed fraction:

Here, 0/100 is the whole number 0, and 39/100 is the fractional part.

Final Result Answer

Fraction Form of 0.3900 After simplifying, we get the final fraction:

Conclusion

Converting 0.3900 to a fraction results in 39/100. 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.