Answer: 0.0391 as a fraction is 391/10000
Converting the decimal number 0.0391 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 0.0391 can be broken down as:
0.0391 = 0 + 0.0391
Here, 0 is the whole number part, and 0.0391 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0391, to a fraction. To do this, consider the place value of the decimal:
0.0391 =
391
10000
Now, simplify the fraction 391/10000. To do this, find the greatest common divisor (GCD) of 391 and 10000.
Now, divide both the numerator and the denominator by their GCD:
391 ÷ 1
10000 ÷ 1
=
391
10000
So, 0.0391 as a fraction is 391/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0391 = 0 + 0.0391, express the entire number as a mixed fraction:
0.0391
= 0 +
391
10000
=
0
10000
+
391
10000
=
391
10000
Here, 0/10000 is the whole number 0, and 391/10000 is the fractional part.
Final Result: Fraction Form of 0.0391 After simplifying, we get the final fraction:
Answer: 0.0391 = 391/10000
Converting 0.0391 to a fraction results in 391/10000. 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.