Answer: 0.0321 as a fraction is 4.0125/125
Converting the decimal number 0.0321 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 0.0321 can be broken down as:
0.0321 = 0 + 0.0321
Here, 0 is the whole number part, and 0.0321 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0321, to a fraction. To do this, consider the place value of the decimal:
0.0321 =
321
10000
Now, simplify the fraction 321/10000. To do this, find the greatest common divisor (GCD) of 321 and 10000.
Now, divide both the numerator and the denominator by their GCD:
321 ÷ 80
10000 ÷ 80
=
4.0125
125
So, 0.0321 as a fraction is 4.0125/125
Step 4: Combine the Whole Number and FractionNow that you have 0.0321 = 0 + 0.0321, express the entire number as a mixed fraction:
0.0321
= 0 +
4.0125
125
=
0
125
+
4.0125
125
=
4.0125
125
Here, 0/125 is the whole number 0, and 4.0125/125 is the fractional part.
Final Result: Fraction Form of 0.0321 After simplifying, we get the final fraction:
Answer: 0.0321 = 4.0125/125
Converting 0.0321 to a fraction results in 4.0125/125. 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.