Answer: 0.0317 as a fraction is 317/10000
Converting the decimal number 0.0317 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 0.0317 can be broken down as:
0.0317 = 0 + 0.0317
Here, 0 is the whole number part, and 0.0317 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0317, to a fraction. To do this, consider the place value of the decimal:
0.0317 =
317
10000
Now, simplify the fraction 317/10000. To do this, find the greatest common divisor (GCD) of 317 and 10000.
Now, divide both the numerator and the denominator by their GCD:
317 ÷ 1
10000 ÷ 1
=
317
10000
So, 0.0317 as a fraction is 317/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0317 = 0 + 0.0317, express the entire number as a mixed fraction:
0.0317
= 0 +
317
10000
=
0
10000
+
317
10000
=
317
10000
Here, 0/10000 is the whole number 0, and 317/10000 is the fractional part.
Final Result: Fraction Form of 0.0317 After simplifying, we get the final fraction:
Answer: 0.0317 = 317/10000
Converting 0.0317 to a fraction results in 317/10000. 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.