Answer: 0.0401 as a fraction is 1.0025/25
Converting the decimal number 0.0401 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 0.0401 can be broken down as:
0.0401 = 0 + 0.0401
Here, 0 is the whole number part, and 0.0401 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0401, to a fraction. To do this, consider the place value of the decimal:
0.0401 =
401
10000
Now, simplify the fraction 401/10000. To do this, find the greatest common divisor (GCD) of 401 and 10000.
Now, divide both the numerator and the denominator by their GCD:
401 ÷ 400
10000 ÷ 400
=
1.0025
25
So, 0.0401 as a fraction is 1.0025/25
Step 4: Combine the Whole Number and FractionNow that you have 0.0401 = 0 + 0.0401, express the entire number as a mixed fraction:
0.0401
= 0 +
1.0025
25
=
0
25
+
1.0025
25
=
1.0025
25
Here, 0/25 is the whole number 0, and 1.0025/25 is the fractional part.
Final Result: Fraction Form of 0.0401 After simplifying, we get the final fraction:
Answer: 0.0401 = 1.0025/25
Converting 0.0401 to a fraction results in 1.0025/25. 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.