Answer: 0.0406 as a fraction is 203/5000
Converting the decimal number 0.0406 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 0.0406 can be broken down as:
0.0406 = 0 + 0.0406
Here, 0 is the whole number part, and 0.0406 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0406, to a fraction. To do this, consider the place value of the decimal:
0.0406 =
406
10000
Now, simplify the fraction 406/10000. To do this, find the greatest common divisor (GCD) of 406 and 10000.
Now, divide both the numerator and the denominator by their GCD:
406 ÷ 2
10000 ÷ 2
=
203
5000
So, 0.0406 as a fraction is 203/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0406 = 0 + 0.0406, express the entire number as a mixed fraction:
0.0406
= 0 +
203
5000
=
0
5000
+
203
5000
=
203
5000
Here, 0/5000 is the whole number 0, and 203/5000 is the fractional part.
Final Result: Fraction Form of 0.0406 After simplifying, we get the final fraction:
Answer: 0.0406 = 203/5000
Converting 0.0406 to a fraction results in 203/5000. 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.