Answer: 0.0399 as a fraction is 399/10000
Converting the decimal number 0.0399 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.
Step 1: Understand the DecimalThe decimal 0.0399 can be broken down as:
0.0399 = 0 + 0.0399
Here, 0 is the whole number part, and 0.0399 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0399, to a fraction. To do this, consider the place value of the decimal:
0.0399 =
399
10000
Now, simplify the fraction 399/10000. To do this, find the greatest common divisor (GCD) of 399 and 10000.
Now, divide both the numerator and the denominator by their GCD:
399 ÷ 1
10000 ÷ 1
=
399
10000
So, 0.0399 as a fraction is 399/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0399 = 0 + 0.0399, express the entire number as a mixed fraction:
0.0399
= 0 +
399
10000
=
0
10000
+
399
10000
=
399
10000
Here, 0/10000 is the whole number 0, and 399/10000 is the fractional part.
Final Result: Fraction Form of 0.0399 After simplifying, we get the final fraction:
Answer: 0.0399 = 399/10000
Converting 0.0399 to a fraction results in 399/10000. 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.