Answer: 0.0332 as a fraction is 83/2500
Converting the decimal number 0.0332 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 0.0332 can be broken down as:
0.0332 = 0 + 0.0332
Here, 0 is the whole number part, and 0.0332 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0332, to a fraction. To do this, consider the place value of the decimal:
0.0332 =
332
10000
Now, simplify the fraction 332/10000. To do this, find the greatest common divisor (GCD) of 332 and 10000.
Now, divide both the numerator and the denominator by their GCD:
332 ÷ 4
10000 ÷ 4
=
83
2500
So, 0.0332 as a fraction is 83/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.0332 = 0 + 0.0332, express the entire number as a mixed fraction:
0.0332
= 0 +
83
2500
=
0
2500
+
83
2500
=
83
2500
Here, 0/2500 is the whole number 0, and 83/2500 is the fractional part.
Final Result: Fraction Form of 0.0332 After simplifying, we get the final fraction:
Answer: 0.0332 = 83/2500
Converting 0.0332 to a fraction results in 83/2500. 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.