Answer: 0.0322 as a fraction is 161/5000
Converting the decimal number 0.0322 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 0.0322 can be broken down as:
0.0322 = 0 + 0.0322
Here, 0 is the whole number part, and 0.0322 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0322, to a fraction. To do this, consider the place value of the decimal:
0.0322 =
322
10000
Now, simplify the fraction 322/10000. To do this, find the greatest common divisor (GCD) of 322 and 10000.
Now, divide both the numerator and the denominator by their GCD:
322 ÷ 2
10000 ÷ 2
=
161
5000
So, 0.0322 as a fraction is 161/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0322 = 0 + 0.0322, express the entire number as a mixed fraction:
0.0322
= 0 +
161
5000
=
0
5000
+
161
5000
=
161
5000
Here, 0/5000 is the whole number 0, and 161/5000 is the fractional part.
Final Result: Fraction Form of 0.0322 After simplifying, we get the final fraction:
Answer: 0.0322 = 161/5000
Converting 0.0322 to a fraction results in 161/5000. 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.