Answer: 0.0329 as a fraction is 329/10000
Converting the decimal number 0.0329 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 0.0329 can be broken down as:
0.0329 = 0 + 0.0329
Here, 0 is the whole number part, and 0.0329 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0329, to a fraction. To do this, consider the place value of the decimal:
0.0329 =
329
10000
Now, simplify the fraction 329/10000. To do this, find the greatest common divisor (GCD) of 329 and 10000.
Now, divide both the numerator and the denominator by their GCD:
329 ÷ 1
10000 ÷ 1
=
329
10000
So, 0.0329 as a fraction is 329/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0329 = 0 + 0.0329, express the entire number as a mixed fraction:
0.0329
= 0 +
329
10000
=
0
10000
+
329
10000
=
329
10000
Here, 0/10000 is the whole number 0, and 329/10000 is the fractional part.
Final Result: Fraction Form of 0.0329 After simplifying, we get the final fraction:
Answer: 0.0329 = 329/10000
Converting 0.0329 to a fraction results in 329/10000. 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.